158961688704 has 1152 divisors, whose sum is σ = 607969514880. Its totient is φ = 40967700480.

The previous prime is 158961688693. The next prime is 158961688757. The reversal of 158961688704 is 407886169851.

158961688704 is a `hidden beast` number, since 1 + 5 + 8 + 9 + 616 + 8 + 8 + 7 + 0 + 4 = 666.

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

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1406740552 + ... + 1406740664.

It is an arithmetic number, because the mean of its divisors is an integer number (527751315).

Almost surely, 2^158961688704 is an apocalyptic number.

158961688704 is a gapful number since it is divisible by the number (14) 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 158961688704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (303984757440).

158961688704 is an abundant number, since it is smaller than the sum of its proper divisors (449007826176).

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

158961688704 is a wasteful number, since it uses less digits than its factorization.

158961688704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 240 (or 209 counting only the distinct ones).

The product of its (nonzero) digits is 23224320, while the sum is 63.

The spelling of 158961688704 in words is "one hundred fifty-eight billion, nine hundred sixty-one million, six hundred eighty-eight thousand, seven hundred four".