54165348864 has 640 divisors, whose sum is σ = 193461903360. Its totient is φ = 14760345600.

The previous prime is 54165348863. The next prime is 54165348869. The reversal of 54165348864 is 46884356145.

54165348864 is a `hidden beast` number, since 5 + 41 + 6 + 534 + 8 + 8 + 64 = 666.

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 54165348864.

It is not an unprimeable number, because it can be changed into a prime (54165348863) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 59456569 + ... + 59457479.

It is an arithmetic number, because the mean of its divisors is an integer number (302284224).

Almost surely, 2^54165348864 is an apocalyptic number.

54165348864 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 54165348864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96730951680).

54165348864 is an abundant number, since it is smaller than the sum of its proper divisors (139296554496).

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

54165348864 is a wasteful number, since it uses less digits than its factorization.

54165348864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 989 (or 967 counting only the distinct ones).

The product of its digits is 11059200, while the sum is 54.

The spelling of 54165348864 in words is "fifty-four billion, one hundred sixty-five million, three hundred forty-eight thousand, eight hundred sixty-four".