54614117376 has 704 divisors, whose sum is σ = 203586432000. Its totient is φ = 14371209216.

The previous prime is 54614117333. The next prime is 54614117387. The reversal of 54614117376 is 67371141645.

It is a happy number.

54614117376 is a `hidden beast` number, since 5 + 461 + 4 + 117 + 3 + 76 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 123282211 + ... + 123282653.

Almost surely, 2^54614117376 is an apocalyptic number.

54614117376 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 54614117376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101793216000).

54614117376 is an abundant number, since it is smaller than the sum of its proper divisors (148972314624).

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

54614117376 is a wasteful number, since it uses less digits than its factorization.

54614117376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 506 (or 468 counting only the distinct ones).

The product of its digits is 423360, while the sum is 45.

The spelling of 54614117376 in words is "fifty-four billion, six hundred fourteen million, one hundred seventeen thousand, three hundred seventy-six".