158998446131616 has 1152 divisors, whose sum is σ = 618259388060160. Its totient is φ = 39266175320064.

The previous prime is 158998446131543. The next prime is 158998446131627. The reversal of 158998446131616 is 616131644899851.

158998446131616 is a `hidden beast` number, since 1 + 5 + 8 + 9 + 9 + 8 + 446 + 13 + 161 + 6 = 666.

It is a super-3 number, since 3×158998446131616³ (a number of 44 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1843139301 + ... + 1843225563.

It is an arithmetic number, because the mean of its divisors is an integer number (536683496580).

Almost surely, 2^{158998446131616} is an apocalyptic number.

158998446131616 is a gapful number since it is divisible by the number (16) 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 158998446131616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (309129694030080).

158998446131616 is an abundant number, since it is smaller than the sum of its proper divisors (459260941928544).

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

158998446131616 is a wasteful number, since it uses less digits than its factorization.

158998446131616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86523 (or 86502 counting only the distinct ones).

The product of its digits is 268738560, while the sum is 72.

The spelling of 158998446131616 in words is "one hundred fifty-eight trillion, nine hundred ninety-eight billion, four hundred forty-six million, one hundred thirty-one thousand, six hundred sixteen".