456955168951 has 16 divisors (see below), whose sum is σ = 473889644800. Its totient is φ = 440158924800.

The previous prime is 456955168913. The next prime is 456955168993. The reversal of 456955168951 is 159861559654.

It is a 12-Lehmer number, since φ(456955168951) divides (456955168951-1)¹².

It is a cyclic number.

It is not a de Polignac number, because 456955168951 - 2¹¹ = 456955166903 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (456955168751) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 33990391 + ... + 34003831.

It is an arithmetic number, because the mean of its divisors is an integer number (29618102800).

Almost surely, 2^456955168951 is an apocalyptic number.

456955168951 is the 302310-th centered decagonal number.

456955168951 is a deficient number, since it is larger than the sum of its proper divisors (16934475849).

456955168951 is a wasteful number, since it uses less digits than its factorization.

456955168951 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18490.

The product of its digits is 58320000, while the sum is 64.

The spelling of 456955168951 in words is "four hundred fifty-six billion, nine hundred fifty-five million, one hundred sixty-eight thousand, nine hundred fifty-one".