54814354560 has 256 divisors, whose sum is σ = 221868115200. Its totient is φ = 12528967680.

The previous prime is 54814354559. The next prime is 54814354579. The reversal of 54814354560 is 6545341845.

54814354560 is a `hidden beast` number, since 5 + 4 + 8 + 1 + 43 + 545 + 60 = 666.

It is a super-2 number, since 2×54814354560² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

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 31 ways as a sum of consecutive naturals, for example, 105621 + ... + 347540.

It is an arithmetic number, because the mean of its divisors is an integer number (866672325).

Almost surely, 2^54814354560 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 54814354560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110934057600).

54814354560 is an abundant number, since it is smaller than the sum of its proper divisors (167053760640).

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

54814354560 is a wasteful number, since it uses less digits than its factorization.

54814354560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 453196 (or 453178 counting only the distinct ones).

The product of its (nonzero) digits is 1152000, while the sum is 45.

The spelling of 54814354560 in words is "fifty-four billion, eight hundred fourteen million, three hundred fifty-four thousand, five hundred sixty".