51112371456 has 216 divisors, whose sum is σ = 154223037696. Its totient is φ = 16260341760.

The previous prime is 51112371421. The next prime is 51112371463. The reversal of 51112371456 is 65417321115.

51112371456 is a `hidden beast` number, since 5 + 11 + 123 + 71 + 456 = 666.

It is a super-2 number, since 2×51112371456² (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 self number, because there is not a number n which added to its sum of digits gives 51112371456.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5209051 + ... + 5218853.

Almost surely, 2^51112371456 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 51112371456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77111518848).

51112371456 is an abundant number, since it is smaller than the sum of its proper divisors (103110666240).

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

51112371456 is a wasteful number, since it uses less digits than its factorization.

51112371456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9929 (or 9912 counting only the distinct ones).

The product of its digits is 25200, while the sum is 36.

The spelling of 51112371456 in words is "fifty-one billion, one hundred twelve million, three hundred seventy-one thousand, four hundred fifty-six".