553524096064 has 63 divisors (see below), whose sum is σ = 1109553927573. Its totient is φ = 273979517952.

The previous prime is 553524096019. The next prime is 553524096107. The reversal of 553524096064 is 460690425355.

The square root of 553524096064 is 743992.

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., 9753537600 + 543770558464 = 98760^2 + 737408^2 .

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 553524095999 and 553524096017.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 672568357 + ... + 672569179.

Almost surely, 2^553524096064 is an apocalyptic number.

553524096064 is the 743992-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 553524096064

553524096064 is an abundant number, since it is smaller than the sum of its proper divisors (556029831509).

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

553524096064 is an frugal number, since it uses more digits than its factorization.

553524096064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1884 (or 938 counting only the distinct ones).

The product of its (nonzero) digits is 3888000, while the sum is 49.

Multiplying 553524096064 by its sum of digits (49), we get a square (27122680707136 = 5207944²).

The spelling of 553524096064 in words is "five hundred fifty-three billion, five hundred twenty-four million, ninety-six thousand, sixty-four".