155234256164416 has 189 divisors, whose sum is σ = 366675460455969. Its totient is φ = 65127273868800.

The previous prime is 155234256164399. The next prime is 155234256164419. The reversal of 155234256164416 is 614461652432551.

The square root of 155234256164416 is 12459304.

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

It can be written as a sum of positive squares in only one way, i.e., 22963647361600 + 132270608802816 = 4792040^2 + 11500896^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (155234256164419) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 14253438331 + ... + 14253449221.

Almost surely, 2^{155234256164416} is an apocalyptic number.

155234256164416 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

155234256164416 is the 12459304-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 155234256164416

155234256164416 is an abundant number, since it is smaller than the sum of its proper divisors (211441204291553).

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

155234256164416 is an frugal number, since it uses more digits than its factorization.

155234256164416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21842 (or 10917 counting only the distinct ones).

The product of its digits is 20736000, while the sum is 55.

The spelling of 155234256164416 in words is "one hundred fifty-five trillion, two hundred thirty-four billion, two hundred fifty-six million, one hundred sixty-four thousand, four hundred sixteen".