147059603453952 has 768 divisors, whose sum is σ = 527558108313600. Its totient is φ = 39514362347520.

The previous prime is 147059603453849. The next prime is 147059603453993. The reversal of 147059603453952 is 259354306950741.

147059603453952 is a `hidden beast` number, since 1 + 4 + 7 + 0 + 5 + 9 + 60 + 34 + 539 + 5 + 2 = 666.

147059603453952 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (768).

It is a super-2 number, since 2×147059603453952² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a self number, because there is not a number n which added to its sum of digits gives 147059603453952.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 9087281253 + ... + 9087297435.

It is an arithmetic number, because the mean of its divisors is an integer number (686924620200).

Almost surely, 2^{147059603453952} is an apocalyptic number.

147059603453952 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 147059603453952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (263779054156800).

147059603453952 is an abundant number, since it is smaller than the sum of its proper divisors (380498504859648).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

147059603453952 is a wasteful number, since it uses less digits than its factorization.

147059603453952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17619 (or 17593 counting only the distinct ones).

The product of its (nonzero) digits is 122472000, while the sum is 63.

The spelling of 147059603453952 in words is "one hundred forty-seven trillion, fifty-nine billion, six hundred three million, four hundred fifty-three thousand, nine hundred fifty-two".