456620514144 has 48 divisors (see below), whose sum is σ = 1200728168640. Its totient is φ = 151940257920.

The previous prime is 456620514127. The next prime is 456620514173. The reversal of 456620514144 is 441415026654.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (48).

It is a junction number, because it is equal to n+sod(n) for n = 456620514096 and 456620514105.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4110214 + ... + 4219845.

It is an arithmetic number, because the mean of its divisors is an integer number (25015170180).

Almost surely, 2^456620514144 is an apocalyptic number.

It is an amenable number.

456620514144 is an abundant number, since it is smaller than the sum of its proper divisors (744107654496).

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

456620514144 is a wasteful number, since it uses less digits than its factorization.

456620514144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8330643 (or 8330635 counting only the distinct ones).

The product of its (nonzero) digits is 460800, while the sum is 42.

The spelling of 456620514144 in words is "four hundred fifty-six billion, six hundred twenty million, five hundred fourteen thousand, one hundred forty-four".