51117592464 has 135 divisors (see below), whose sum is σ = 145443329083. Its totient is φ = 16759747776.

The previous prime is 51117592453. The next prime is 51117592469. The reversal of 51117592464 is 46429571115.

The square root of 51117592464 is 226092.

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

51117592464 is a `hidden beast` number, since 5 + 1 + 1 + 17 + 592 + 46 + 4 = 666.

It is a super-2 number, since 2×51117592464² (a number of 22 digits) contains 22 as substring.

It is a Duffinian number.

Its product of digits (302400) is a multiple of the sum of its prime divisors (315).

It is not an unprimeable number, because it can be changed into a prime (51117592469) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 225187519 + ... + 225187745.

Almost surely, 2^51117592464 is an apocalyptic number.

51117592464 is the 226092-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 51117592464

51117592464 is an abundant number, since it is smaller than the sum of its proper divisors (94325736619).

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

51117592464 is an equidigital number, since it uses as much as digits as its factorization.

51117592464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 634 (or 315 counting only the distinct ones).

The product of its digits is 302400, while the sum is 45.

The spelling of 51117592464 in words is "fifty-one billion, one hundred seventeen million, five hundred ninety-two thousand, four hundred sixty-four".