56146250304 has 147 divisors (see below), whose sum is σ = 167198821177. Its totient is φ = 18698356224.

The previous prime is 56146250287. The next prime is 56146250309. The reversal of 56146250304 is 40305264165.

The square root of 56146250304 is 236952.

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

56146250304 is a `hidden beast` number, since 5 + 6 + 146 + 2 + 503 + 0 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 15966849600 + 40179400704 = 126360^2 + 200448^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (56146250309) by changing a digit.

It is a polite number, since it can be written in 20 ways as a sum of consecutive naturals, for example, 51181084 + ... + 51182180.

Almost surely, 2^56146250304 is an apocalyptic number.

56146250304 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

56146250304 is the 236952-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 56146250304

56146250304 is an abundant number, since it is smaller than the sum of its proper divisors (111052570873).

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

56146250304 is an frugal number, since it uses more digits than its factorization.

56146250304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2224 (or 1102 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

Multiplying 56146250304 by its sum of digits (36), we get a square (2021265010944 = 1421712²).

56146250304 divided by its sum of digits (36) gives a square (1559618064 = 39492²).

The spelling of 56146250304 in words is "fifty-six billion, one hundred forty-six million, two hundred fifty thousand, three hundred four".