156980734729344 has 512 divisors, whose sum is σ = 492572464416000. Its totient is φ = 49047720099840.

The previous prime is 156980734729339. The next prime is 156980734729349. The reversal of 156980734729344 is 443927437089651.

156980734729344 is a `hidden beast` number, since 1 + 5 + 6 + 9 + 80 + 73 + 472 + 9 + 3 + 4 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (156980734729339) and next prime (156980734729349).

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

It is not an unprimeable number, because it can be changed into a prime (156980734729349) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 15310707322 + ... + 15310717574.

It is a 1-persistent number, because it is pandigital, but 2⋅156980734729344 = 313961469458688 is not.

Almost surely, 2^{156980734729344} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 156980734729344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (246286232208000).

156980734729344 is an abundant number, since it is smaller than the sum of its proper divisors (335591729686656).

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

156980734729344 is a wasteful number, since it uses less digits than its factorization.

156980734729344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11333 (or 11315 counting only the distinct ones).

The product of its (nonzero) digits is 1097349120, while the sum is 72.

The spelling of 156980734729344 in words is "one hundred fifty-six trillion, nine hundred eighty billion, seven hundred thirty-four million, seven hundred twenty-nine thousand, three hundred forty-four".