456150506621665 has 64 divisors (see below), whose sum is σ = 554215628736000. Its totient is φ = 360402127626240.

The previous prime is 456150506621629. The next prime is 456150506621671. The reversal of 456150506621665 is 566126605051654.

It is a happy number.

It is not a de Polignac number, because 456150506621665 - 2¹¹ = 456150506619617 is a prime.

It is a super-2 number, since 2×456150506621665² (a number of 30 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 148148912596 + ... + 148148915674.

It is an arithmetic number, because the mean of its divisors is an integer number (8659619199000).

Almost surely, 2^{456150506621665} is an apocalyptic number.

It is an amenable number.

456150506621665 is a deficient number, since it is larger than the sum of its proper divisors (98065122114335).

456150506621665 is a wasteful number, since it uses less digits than its factorization.

456150506621665 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5290.

The product of its (nonzero) digits is 38880000, while the sum is 58.

The spelling of 456150506621665 in words is "four hundred fifty-six trillion, one hundred fifty billion, five hundred six million, six hundred twenty-one thousand, six hundred sixty-five".