553393161216 has 891 divisors, whose sum is σ = 1978414141197. Its totient is φ = 154255933440.

The previous prime is 553393161199. The next prime is 553393161239. The reversal of 553393161216 is 612161393355.

The square root of 553393161216 is 743904.

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

553393161216 is a `hidden beast` number, since 5 + 533 + 9 + 31 + 61 + 21 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 26665583616 + 526727577600 = 163296^2 + 725760^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 13497394156 + ... + 13497394196.

Almost surely, 2^553393161216 is an apocalyptic number.

553393161216 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

553393161216 is the 743904-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 553393161216

553393161216 is an abundant number, since it is smaller than the sum of its proper divisors (1425020979981).

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

553393161216 is an frugal number, since it uses more digits than its factorization.

553393161216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 140 (or 53 counting only the distinct ones).

The product of its digits is 437400, while the sum is 45.

The spelling of 553393161216 in words is "five hundred fifty-three billion, three hundred ninety-three million, one hundred sixty-one thousand, two hundred sixteen".