158308946568900 has 432 divisors, whose sum is σ = 513548380800000. Its totient is φ = 40747898880000.

The previous prime is 158308946568859. The next prime is 158308946568937. The reversal of 158308946568900 is 9865649803851.

158308946568900 is a `hidden beast` number, since 1 + 5 + 8 + 3 + 0 + 89 + 465 + 6 + 89 + 0 + 0 = 666.

It is a super-3 number, since 3×158308946568900³ (a number of 44 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 20943103321 + ... + 20943110879.

It is an arithmetic number, because the mean of its divisors is an integer number (1188769400000).

Almost surely, 2^{158308946568900} is an apocalyptic number.

158308946568900 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 158308946568900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (256774190400000).

158308946568900 is an abundant number, since it is smaller than the sum of its proper divisors (355239434231100).

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

158308946568900 is a wasteful number, since it uses less digits than its factorization.

158308946568900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9460 (or 9450 counting only the distinct ones).

The product of its (nonzero) digits is 447897600, while the sum is 72.

The spelling of 158308946568900 in words is "one hundred fifty-eight trillion, three hundred eight billion, nine hundred forty-six million, five hundred sixty-eight thousand, nine hundred".