158364707164416 has 405 divisors, whose sum is σ = 475430060740789. Its totient is φ = 52431244185600.

The previous prime is 158364707164409. The next prime is 158364707164427. The reversal of 158364707164416 is 614461707463851.

The square root of 158364707164416 is 12584304.

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

158364707164416 is a `hidden beast` number, since 1 + 5 + 8 + 36 + 470 + 71 + 64 + 4 + 1 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 107021176770816 + 51343530393600 = 10345104^2 + 7165440^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 509211276901 + ... + 509211277211.

Almost surely, 2^{158364707164416} is an apocalyptic number.

158364707164416 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

158364707164416 is the 12584304-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 158364707164416

158364707164416 is an abundant number, since it is smaller than the sum of its proper divisors (317065353576373).

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

158364707164416 is an frugal number, since it uses more digits than its factorization.

158364707164416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1212 (or 597 counting only the distinct ones).

The product of its (nonzero) digits is 81285120, while the sum is 63.

The spelling of 158364707164416 in words is "one hundred fifty-eight trillion, three hundred sixty-four billion, seven hundred seven million, one hundred sixty-four thousand, four hundred sixteen".