147354364080000 has 5760 divisors, whose sum is σ = 716401411165440. Its totient is φ = 29872281600000.

The previous prime is 147354364079999. The next prime is 147354364080047. The reversal of 147354364080000 is 80463453741.

147354364080000 is a `hidden beast` number, since 1 + 47 + 3 + 543 + 64 + 0 + 8 + 0 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (5760).

It is a super-2 number, since 2×147354364080000² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

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 719 ways as a sum of consecutive naturals, for example, 3594008879980 + ... + 3594008880020.

It is an arithmetic number, because the mean of its divisors is an integer number (124375244994).

Almost surely, 2^{147354364080000} is an apocalyptic number.

147354364080000 is a gapful number since it is divisible by the number (10) 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 147354364080000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (358200705582720).

147354364080000 is an abundant number, since it is smaller than the sum of its proper divisors (569047047085440).

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

147354364080000 is an frugal number, since it uses more digits than its factorization.

147354364080000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 136 (or 69 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 45.

The spelling of 147354364080000 in words is "one hundred forty-seven trillion, three hundred fifty-four billion, three hundred sixty-four million, eighty thousand".