564450012351 has 48 divisors (see below), whose sum is σ = 909926323488. Its totient is φ = 348358579200.

The previous prime is 564450012233. The next prime is 564450012361. The reversal of 564450012351 is 153210054465.

564450012351 is a `hidden beast` number, since 5 + 644 + 5 + 0 + 0 + 1 + 2 + 3 + 5 + 1 = 666.

It is not a de Polignac number, because 564450012351 - 2⁷ = 564450012223 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (564450012361) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 867990 + ... + 1371971.

It is an arithmetic number, because the mean of its divisors is an integer number (18956798406).

Almost surely, 2^564450012351 is an apocalyptic number.

564450012351 is a gapful number since it is divisible by the number (51) formed by its first and last digit.

564450012351 is a deficient number, since it is larger than the sum of its proper divisors (345476311137).

564450012351 is a wasteful number, since it uses less digits than its factorization.

564450012351 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2240054 (or 2240042 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 36.

The spelling of 564450012351 in words is "five hundred sixty-four billion, four hundred fifty million, twelve thousand, three hundred fifty-one".