456661307401 has 16 divisors (see below), whose sum is σ = 499944546640. Its totient is φ = 414545713920.

The previous prime is 456661307393. The next prime is 456661307413. The reversal of 456661307401 is 104703166654.

It can be written as a sum of positive squares in 8 ways, for example, as 99653862400 + 357007445001 = 315680^2 + 597501^2 .

It is not a de Polignac number, because 456661307401 - 2³ = 456661307393 is a prime.

It is not an unprimeable number, because it can be changed into a prime (456661307801) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4431895 + ... + 4533763.

It is an arithmetic number, because the mean of its divisors is an integer number (31246534165).

Almost surely, 2^456661307401 is an apocalyptic number.

It is an amenable number.

456661307401 is a deficient number, since it is larger than the sum of its proper divisors (43283239239).

456661307401 is a wasteful number, since it uses less digits than its factorization.

456661307401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 107596.

The product of its (nonzero) digits is 362880, while the sum is 43.

The spelling of 456661307401 in words is "four hundred fifty-six billion, six hundred sixty-one million, three hundred seven thousand, four hundred one".