51104713464 has 576 divisors, whose sum is σ = 174029955840. Its totient is φ = 13481717760.

The previous prime is 51104713447. The next prime is 51104713477. The reversal of 51104713464 is 46431740115.

51104713464 is a `hidden beast` number, since 511 + 0 + 4 + 7 + 134 + 6 + 4 = 666.

It is a super-2 number, since 2×51104713464² (a number of 22 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 295402882 + ... + 295403054.

It is an arithmetic number, because the mean of its divisors is an integer number (302135340).

Almost surely, 2^51104713464 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 51104713464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87014977920).

51104713464 is an abundant number, since it is smaller than the sum of its proper divisors (122925242376).

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

51104713464 is a wasteful number, since it uses less digits than its factorization.

51104713464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 340 (or 326 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The spelling of 51104713464 in words is "fifty-one billion, one hundred four million, seven hundred thirteen thousand, four hundred sixty-four".