158349479731200 has 1344 divisors, whose sum is σ = 589165183872000. Its totient is φ = 41692299264000.

The previous prime is 158349479731159. The next prime is 158349479731211. The reversal of 158349479731200 is 2137974943851.

158349479731200 is a `hidden beast` number, since 1 + 5 + 8 + 3 + 494 + 7 + 97 + 31 + 20 + 0 = 666.

It is a super-2 number, since 2×158349479731200² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 166158949924 + ... + 166158950876.

Almost surely, 2^{158349479731200} is an apocalyptic number.

158349479731200 is a gapful number since it is divisible by the number (10) 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 158349479731200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (294582591936000).

158349479731200 is an abundant number, since it is smaller than the sum of its proper divisors (430815704140800).

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

158349479731200 is a wasteful number, since it uses less digits than its factorization.

158349479731200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1348 (or 1313 counting only the distinct ones).

The product of its (nonzero) digits is 45722880, while the sum is 63.

The spelling of 158349479731200 in words is "one hundred fifty-eight trillion, three hundred forty-nine billion, four hundred seventy-nine million, seven hundred thirty-one thousand, two hundred".