158638306885632 has 1944 divisors, whose sum is σ = 581867605768176. Its totient is φ = 42351477129216.

The previous prime is 158638306885601. The next prime is 158638306885637. The reversal of 158638306885632 is 236588603836851.

It is a happy number.

158638306885632 is a `hidden beast` number, since 1 + 5 + 86 + 383 + 0 + 68 + 85 + 6 + 32 = 666.

It is a tau number, because it is divible by the number of its divisors (1944).

It is a super-2 number, since 2×158638306885632² (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 a congruent number.

It is not an unprimeable number, because it can be changed into a prime (158638306885637) by changing a digit.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 2173127491548 + ... + 2173127491620.

Almost surely, 2^{158638306885632} is an apocalyptic number.

158638306885632 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 158638306885632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (290933802884088).

158638306885632 is an abundant number, since it is smaller than the sum of its proper divisors (423229298882544).

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

158638306885632 is an frugal number, since it uses more digits than its factorization.

158638306885632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 176 (or 104 counting only the distinct ones).

The product of its (nonzero) digits is 1194393600, while the sum is 72.

The spelling of 158638306885632 in words is "one hundred fifty-eight trillion, six hundred thirty-eight billion, three hundred six million, eight hundred eighty-five thousand, six hundred thirty-two".