54144492864 has 672 divisors, whose sum is σ = 191382018048. Its totient is φ = 13113446400.

The previous prime is 54144492859. The next prime is 54144492911. The reversal of 54144492864 is 46829444145.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (672).

It is a super-2 number, since 2×54144492864² (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 525674637 + ... + 525674739.

Almost surely, 2^54144492864 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 54144492864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95691009024).

54144492864 is an abundant number, since it is smaller than the sum of its proper divisors (137237525184).

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

54144492864 is a wasteful number, since it uses less digits than its factorization.

54144492864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 235 (or 194 counting only the distinct ones).

The product of its digits is 4423680, while the sum is 51.

The spelling of 54144492864 in words is "fifty-four billion, one hundred forty-four million, four hundred ninety-two thousand, eight hundred sixty-four".