51014546496 has 105 divisors (see below), whose sum is σ = 151271318869. Its totient is φ = 16999428096.

The previous prime is 51014546483. The next prime is 51014546519. The reversal of 51014546496 is 69464541015.

The square root of 51014546496 is 225864.

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

51014546496 is a `hidden beast` number, since 5 + 1 + 0 + 14 + 546 + 4 + 96 = 666.

It can be written as a sum of positive squares in only one way, i.e., 50949518400 + 65028096 = 225720^2 + 8064^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 16260640 + ... + 16263776.

Almost surely, 2^51014546496 is an apocalyptic number.

51014546496 is the 225864-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 51014546496

51014546496 is an abundant number, since it is smaller than the sum of its proper divisors (100256772373).

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

51014546496 is an frugal number, since it uses more digits than its factorization.

51014546496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6298 (or 3142 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 45.

The spelling of 51014546496 in words is "fifty-one billion, fourteen million, five hundred forty-six thousand, four hundred ninety-six".