51544146816 has 192 divisors, whose sum is σ = 151876380240. Its totient is φ = 16773120000.

The previous prime is 51544146799. The next prime is 51544146877. The reversal of 51544146816 is 61864144515.

51544146816 is a `hidden beast` number, since 5 + 154 + 414 + 6 + 81 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

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, 12880816 + ... + 12884816.

Almost surely, 2^51544146816 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 51544146816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75938190120).

51544146816 is an abundant number, since it is smaller than the sum of its proper divisors (100332233424).

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

51544146816 is a wasteful number, since it uses less digits than its factorization.

51544146816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4285 (or 4270 counting only the distinct ones).

The product of its digits is 460800, while the sum is 45.

The spelling of 51544146816 in words is "fifty-one billion, five hundred forty-four million, one hundred forty-six thousand, eight hundred sixteen".