54461556900 has 135 divisors (see below), whose sum is σ = 176610962451. Its totient is φ = 14517480960.

The previous prime is 54461556883. The next prime is 54461556907. The reversal of 54461556900 is 965516445.

The square root of 54461556900 is 233370.

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

54461556900 is a `hidden beast` number, since 5 + 4 + 4 + 6 + 1 + 556 + 90 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 75585636 + 54385971264 = 8694^2 + 233208^2 .

It is a tau number, because it is divible by the number of its divisors (135).

It is a super-2 number, since 2×54461556900² (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 not an unprimeable number, because it can be changed into a prime (54461556907) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 21002004 + ... + 21004596.

Almost surely, 2^54461556900 is an apocalyptic number.

54461556900 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

54461556900 is the 233370-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 54461556900

54461556900 is an abundant number, since it is smaller than the sum of its proper divisors (122149405551).

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

54461556900 is an equidigital number, since it uses as much as digits as its factorization.

54461556900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5212 (or 2603 counting only the distinct ones).

The product of its (nonzero) digits is 648000, while the sum is 45.

The spelling of 54461556900 in words is "fifty-four billion, four hundred sixty-one million, five hundred fifty-six thousand, nine hundred".