51183607849984 has 99 divisors (see below), whose sum is σ = 102974475160137. Its totient is φ = 25428457586688.

The previous prime is 51183607849901. The next prime is 51183607849991. The reversal of 51183607849984 is 48994870638115.

The square root of 51183607849984 is 7154272.

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., 20945926595584 + 30237681254400 = 4576672^2 + 5498880^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 40979669392 + ... + 40979670640.

Almost surely, 2^{51183607849984} is an apocalyptic number.

51183607849984 is the 7154272-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 51183607849984

51183607849984 is an abundant number, since it is smaller than the sum of its proper divisors (51790867310153).

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

51183607849984 is an frugal number, since it uses more digits than its factorization.

51183607849984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2876 (or 1430 counting only the distinct ones).

The product of its (nonzero) digits is 418037760, while the sum is 73.

The spelling of 51183607849984 in words is "fifty-one trillion, one hundred eighty-three billion, six hundred seven million, eight hundred forty-nine thousand, nine hundred eighty-four".