54796484056464 has 240 divisors, whose sum is σ = 166142217646080. Its totient is φ = 16805795086080.

The previous prime is 54796484056463. The next prime is 54796484056471. The reversal of 54796484056464 is 46465048469745.

54796484056464 is a `hidden beast` number, since 5 + 4 + 7 + 96 + 484 + 0 + 56 + 4 + 6 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 54796484056392 and 54796484056401.

It is not an unprimeable number, because it can be changed into a prime (54796484056463) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10910049 + ... + 15120255.

It is an arithmetic number, because the mean of its divisors is an integer number (692259240192).

Almost surely, 2^{54796484056464} 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 54796484056464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83071108823040).

54796484056464 is an abundant number, since it is smaller than the sum of its proper divisors (111345733589616).

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

54796484056464 is a wasteful number, since it uses less digits than its factorization.

54796484056464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4210378 (or 4210369 counting only the distinct ones).

The product of its (nonzero) digits is 2786918400, while the sum is 72.

The spelling of 54796484056464 in words is "fifty-four trillion, seven hundred ninety-six billion, four hundred eighty-four million, fifty-six thousand, four hundred sixty-four".