456572114000 has 80 divisors (see below), whose sum is σ = 1142060184720. Its totient is φ = 176331276800.

The previous prime is 456572113999. The next prime is 456572114023. The reversal of 456572114000 is 411275654.

It can be written as a sum of positive squares in 8 ways, for example, as 223093739584 + 233478374416 = 472328^2 + 483196^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3877967 + ... + 3993966.

It is an arithmetic number, because the mean of its divisors is an integer number (14275752309).

Almost surely, 2^456572114000 is an apocalyptic number.

456572114000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

456572114000 is an abundant number, since it is smaller than the sum of its proper divisors (685488070720).

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

456572114000 is a wasteful number, since it uses less digits than its factorization.

456572114000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7871985 (or 7871969 counting only the distinct ones).

The product of its (nonzero) digits is 33600, while the sum is 35.

Adding to 456572114000 its reverse (411275654), we get a palindrome (456983389654).

The spelling of 456572114000 in words is "four hundred fifty-six billion, five hundred seventy-two million, one hundred fourteen thousand".