147029169917952 has 3328 divisors, whose sum is σ = 565935455232000. Its totient is φ = 37539419258880.

The previous prime is 147029169917941. The next prime is 147029169918023. The reversal of 147029169917952 is 259719961920741.

147029169917952 is a `hidden beast` number, since 1 + 470 + 2 + 9 + 1 + 6 + 99 + 17 + 9 + 52 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 1771435782103 + ... + 1771435782185.

Almost surely, 2^{147029169917952} is an apocalyptic number.

147029169917952 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 147029169917952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (282967727616000).

147029169917952 is an abundant number, since it is smaller than the sum of its proper divisors (418906285314048).

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

147029169917952 is an equidigital number, since it uses as much as digits as its factorization.

147029169917952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 262 (or 220 counting only the distinct ones).

The product of its (nonzero) digits is 154314720, while the sum is 72.

The spelling of 147029169917952 in words is "one hundred forty-seven trillion, twenty-nine billion, one hundred sixty-nine million, nine hundred seventeen thousand, nine hundred fifty-two".