156613664083968 has 2080 divisors, whose sum is σ = 625745303715840. Its totient is φ = 37864188149760.

The previous prime is 156613664083967. The next prime is 156613664084029. The reversal of 156613664083968 is 869380466316651.

156613664083968 is a `hidden beast` number, since 1 + 5 + 6 + 61 + 366 + 40 + 83 + 96 + 8 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 156613664083896 and 156613664083905.

It is not an unprimeable number, because it can be changed into a prime (156613664083967) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 17782857421 + ... + 17782866227.

Almost surely, 2^{156613664083968} is an apocalyptic number.

156613664083968 is a gapful number since it is divisible by the number (18) 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 156613664083968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (312872651857920).

156613664083968 is an abundant number, since it is smaller than the sum of its proper divisors (469131639631872).

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

156613664083968 is a wasteful number, since it uses less digits than its factorization.

156613664083968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8913 (or 8882 counting only the distinct ones).

The product of its (nonzero) digits is 806215680, while the sum is 72.

The spelling of 156613664083968 in words is "one hundred fifty-six trillion, six hundred thirteen billion, six hundred sixty-four million, eighty-three thousand, nine hundred sixty-eight".