54414892900 has 27 divisors (see below), whose sum is σ = 118085379769. Its totient is φ = 21765024080.

The previous prime is 54414892871. The next prime is 54414892919. The reversal of 54414892900 is 929841445.

The square root of 54414892900 is 233270.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 19589361444 + 34825531456 = 139962^2 + 186616^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 2321037 + ... + 2344363.

Almost surely, 2^54414892900 is an apocalyptic number.

54414892900 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

54414892900 is the 233270-th square number.

It is an amenable number.

54414892900 is an abundant number, since it is smaller than the sum of its proper divisors (63670486869).

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

54414892900 is an frugal number, since it uses more digits than its factorization.

54414892900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46668 (or 23334 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 46.

The spelling of 54414892900 in words is "fifty-four billion, four hundred fourteen million, eight hundred ninety-two thousand, nine hundred".