10158923631168 has 224 divisors, whose sum is σ = 32179637952000. Its totient is φ = 3124175450112.

The previous prime is 10158923631163. The next prime is 10158923631211. The reversal of 10158923631168 is 86113632985101.

10158923631168 is a `hidden beast` number, since 1 + 0 + 1 + 589 + 23 + 6 + 31 + 1 + 6 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (10158923631163) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 42855433 + ... + 43091831.

It is an arithmetic number, because the mean of its divisors is an integer number (143659098000).

Almost surely, 2^{10158923631168} is an apocalyptic number.

10158923631168 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 10158923631168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16089818976000).

10158923631168 is an abundant number, since it is smaller than the sum of its proper divisors (22020714320832).

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

10158923631168 is a wasteful number, since it uses less digits than its factorization.

10158923631168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 238346 (or 238330 counting only the distinct ones).

The product of its (nonzero) digits is 1866240, while the sum is 54.

The spelling of 10158923631168 in words is "ten trillion, one hundred fifty-eight billion, nine hundred twenty-three million, six hundred thirty-one thousand, one hundred sixty-eight".