456401615351 has 8 divisors (see below), whose sum is σ = 497899189008. Its totient is φ = 414905128000.

The previous prime is 456401615321. The next prime is 456401615353. The reversal of 456401615351 is 153516104654.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 456401615351 - 2²⁶ = 456334506487 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 456401615299 and 456401615308.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (456401615353) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 785981 + ... + 1237161.

It is an arithmetic number, because the mean of its divisors is an integer number (62237398626).

Almost surely, 2^456401615351 is an apocalyptic number.

456401615351 is a deficient number, since it is larger than the sum of its proper divisors (41497573657).

456401615351 is a wasteful number, since it uses less digits than its factorization.

456401615351 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 543153.

The product of its (nonzero) digits is 216000, while the sum is 41.

The spelling of 456401615351 in words is "four hundred fifty-six billion, four hundred one million, six hundred fifteen thousand, three hundred fifty-one".