50614200576 has 243 divisors, whose sum is σ = 150789211209. Its totient is φ = 16327858176.

The previous prime is 50614200547. The next prime is 50614200631. The reversal of 50614200576 is 67500241605.

It is a happy number.

The square root of 50614200576 is 224976.

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

50614200576 is a `hidden beast` number, since 5 + 0 + 61 + 4 + 20 + 0 + 576 = 666.

It can be written as a sum of positive squares in only one way, i.e., 35277854976 + 15336345600 = 187824^2 + 123840^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 50614200576.

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, 464350410 + ... + 464350518.

Almost surely, 2^50614200576 is an apocalyptic number.

50614200576 is the 224976-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 50614200576

50614200576 is an abundant number, since it is smaller than the sum of its proper divisors (100175010633).

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

50614200576 is an equidigital number, since it uses as much as digits as its factorization.

50614200576 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 326 (or 157 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 36.

Multiplying 50614200576 by its sum of digits (36), we get a square (1822111220736 = 1349856²).

50614200576 divided by its sum of digits (36) gives a square (1405950016 = 37496²).

The spelling of 50614200576 in words is "fifty billion, six hundred fourteen million, two hundred thousand, five hundred seventy-six".