554682352900 has 243 divisors, whose sum is σ = 1388671789239. Its totient is φ = 192186408960.

The previous prime is 554682352879. The next prime is 554682352909. The reversal of 554682352900 is 9253286455.

The square root of 554682352900 is 744770.

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

It can be written as a sum of positive squares in 40 ways, for example, as 438013654276 + 116668698624 = 661826^2 + 341568^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (554682352909) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 1645941532 + ... + 1645941868.

Almost surely, 2^554682352900 is an apocalyptic number.

554682352900 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

554682352900 is the 744770-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 554682352900

554682352900 is an abundant number, since it is smaller than the sum of its proper divisors (833989436339).

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

554682352900 is a wasteful number, since it uses less digits than its factorization.

554682352900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 748 (or 374 counting only the distinct ones).

The product of its (nonzero) digits is 2592000, while the sum is 49.

Multiplying 554682352900 by its sum of digits (49), we get a square (27179435292100 = 5213390²).

The spelling of 554682352900 in words is "five hundred fifty-four billion, six hundred eighty-two million, three hundred fifty-two thousand, nine hundred".