54914436864 has 288 divisors, whose sum is σ = 196510487040. Its totient is φ = 14766686208.

The previous prime is 54914436851. The next prime is 54914436877. The reversal of 54914436864 is 46863441945.

54914436864 is a `hidden beast` number, since 5 + 491 + 44 + 36 + 86 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (54914436851) and next prime (54914436877).

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 54914436864.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 789147 + ... + 855909.

It is an arithmetic number, because the mean of its divisors is an integer number (682328080).

Almost surely, 2^54914436864 is an apocalyptic number.

54914436864 is a gapful number since it is divisible by the number (54) 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 54914436864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98255243520).

54914436864 is an abundant number, since it is smaller than the sum of its proper divisors (141596050176).

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

54914436864 is a wasteful number, since it uses less digits than its factorization.

54914436864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 66812 (or 66792 counting only the distinct ones).

The product of its digits is 9953280, while the sum is 54.

The spelling of 54914436864 in words is "fifty-four billion, nine hundred fourteen million, four hundred thirty-six thousand, eight hundred sixty-four".