126555216516 has 81 divisors (see below), whose sum is σ = 322574717829. Its totient is φ = 41835729600.

The previous prime is 126555216499. The next prime is 126555216521. The reversal of 126555216516 is 615612555621.

126555216516 = 1³ + 2³ + ... + 843³.

It is a happy number.

The square root of 126555216516 is 355746.

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

126555216516 is a `hidden beast` number, since 1 + 2 + 6 + 55 + 521 + 65 + 16 = 666.

It can be written as a sum of positive squares in only one way, i.e., 85524662916 + 41030553600 = 292446^2 + 202560^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 450374296 + ... + 450374576.

Almost surely, 2^126555216516 is an apocalyptic number.

126555216516 is the 355746-th square number.

It is an amenable number.

126555216516 is an abundant number, since it is smaller than the sum of its proper divisors (196019501313).

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

126555216516 is an equidigital number, since it uses as much as digits as its factorization.

126555216516 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 994 (or 497 counting only the distinct ones).

The product of its digits is 540000, while the sum is 45.

The spelling of 126555216516 in words is "one hundred twenty-six billion, five hundred fifty-five million, two hundred sixteen thousand, five hundred sixteen".