158646076416 has 231 divisors, whose sum is σ = 476521987693. Its totient is φ = 52767313920.

The previous prime is 158646076403. The next prime is 158646076447. The reversal of 158646076416 is 614670646851.

The square root of 158646076416 is 398304.

It is a perfect power (a square), and thus also a powerful number.

158646076416 is a `hidden beast` number, since 1 + 586 + 46 + 0 + 7 + 6 + 4 + 16 = 666.

It can be written as a sum of positive squares in only one way, i.e., 50852054016 + 107794022400 = 225504^2 + 328320^2 .

It is a super-2 number, since 2×158646076416² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 20 ways as a sum of consecutive naturals, for example, 344134426 + ... + 344134886.

Almost surely, 2^158646076416 is an apocalyptic number.

158646076416 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

158646076416 is the 398304-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 158646076416

158646076416 is an abundant number, since it is smaller than the sum of its proper divisors (317875911277).

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

158646076416 is an frugal number, since it uses more digits than its factorization.

158646076416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 960 (or 466 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 54.

The spelling of 158646076416 in words is "one hundred fifty-eight billion, six hundred forty-six million, seventy-six thousand, four hundred sixteen".