54564461952 has 512 divisors, whose sum is σ = 198640512000. Its totient is φ = 13077872640.

The previous prime is 54564461929. The next prime is 54564461969. The reversal of 54564461952 is 25916446545.

It is a super-2 number, since 2×54564461952² (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 54564461895 and 54564461904.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 18833368 + ... + 18836264.

It is an arithmetic number, because the mean of its divisors is an integer number (387969750).

Almost surely, 2^54564461952 is an apocalyptic number.

54564461952 is a gapful number since it is divisible by the number (52) 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 54564461952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99320256000).

54564461952 is an abundant number, since it is smaller than the sum of its proper divisors (144076050048).

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

54564461952 is a wasteful number, since it uses less digits than its factorization.

54564461952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2959 (or 2933 counting only the distinct ones).

The product of its digits is 5184000, while the sum is 51.

The spelling of 54564461952 in words is "fifty-four billion, five hundred sixty-four million, four hundred sixty-one thousand, nine hundred fifty-two".