51634381824 has 231 divisors, whose sum is σ = 155347380643. Its totient is φ = 17146017792.

The previous prime is 51634381819. The next prime is 51634381849. The reversal of 51634381824 is 42818343615.

The square root of 51634381824 is 227232.

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

51634381824 is a `hidden beast` number, since 5 + 1 + 634 + 3 + 8 + 1 + 8 + 2 + 4 = 666.

It is a super-2 number, since 2×51634381824² (a number of 22 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 51634381824.

It is an unprimeable number.

It is a polite number, since it can be written in 20 ways as a sum of consecutive naturals, for example, 196328317 + ... + 196328579.

Almost surely, 2^51634381824 is an apocalyptic number.

51634381824 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

51634381824 is the 227232-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 51634381824

51634381824 is an abundant number, since it is smaller than the sum of its proper divisors (103712998819).

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

51634381824 is an frugal number, since it uses more digits than its factorization.

51634381824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 564 (or 268 counting only the distinct ones).

The product of its digits is 552960, while the sum is 45.

The spelling of 51634381824 in words is "fifty-one billion, six hundred thirty-four million, three hundred eighty-one thousand, eight hundred twenty-four".