158961093274368 has 432 divisors, whose sum is σ = 577837432972800. Its totient is φ = 40824674795520.

The previous prime is 158961093274363. The next prime is 158961093274381. The reversal of 158961093274368 is 863472390169851.

158961093274368 is a `hidden beast` number, since 1 + 5 + 8 + 96 + 10 + 93 + 2 + 7 + 436 + 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 = 158961093274296 and 158961093274305.

It is not an unprimeable number, because it can be changed into a prime (158961093274363) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10755493 + ... + 20823131.

It is an arithmetic number, because the mean of its divisors is an integer number (1337586650400).

It is a 1-persistent number, because it is pandigital, but 2⋅158961093274368 = 317922186548736 is not.

Almost surely, 2^{158961093274368} is an apocalyptic number.

158961093274368 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 158961093274368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (288918716486400).

158961093274368 is an abundant number, since it is smaller than the sum of its proper divisors (418876339698432).

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

158961093274368 is a wasteful number, since it uses less digits than its factorization.

158961093274368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10067768 (or 10067751 counting only the distinct ones).

The product of its (nonzero) digits is 470292480, while the sum is 72.

The spelling of 158961093274368 in words is "one hundred fifty-eight trillion, nine hundred sixty-one billion, ninety-three million, two hundred seventy-four thousand, three hundred sixty-eight".