158233949629056 has 1152 divisors, whose sum is σ = 567755150376960. Its totient is φ = 43693985986560.

The previous prime is 158233949628991. The next prime is 158233949629061. The reversal of 158233949629056 is 650926949332851.

158233949629056 is a `hidden beast` number, since 1 + 5 + 82 + 3 + 3 + 9 + 496 + 2 + 9 + 0 + 56 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a super-2 number, since 2×158233949629056² (a number of 29 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 46443775705 + ... + 46443779111.

It is an arithmetic number, because the mean of its divisors is an integer number (492843012480).

Almost surely, 2^{158233949629056} is an apocalyptic number.

158233949629056 is a gapful number since it is divisible by the number (16) 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 158233949629056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (283877575188480).

158233949629056 is an abundant number, since it is smaller than the sum of its proper divisors (409521200747904).

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

158233949629056 is an equidigital number, since it uses as much as digits as its factorization.

158233949629056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4464 (or 4433 counting only the distinct ones).

The product of its (nonzero) digits is 755827200, while the sum is 72.

The spelling of 158233949629056 in words is "one hundred fifty-eight trillion, two hundred thirty-three billion, nine hundred forty-nine million, six hundred twenty-nine thousand, fifty-six".