456106552935 has 16 divisors (see below), whose sum is σ = 796113256320. Its totient is φ = 221142571040.

The previous prime is 456106552907. The next prime is 456106552943. The reversal of 456106552935 is 539255601654.

It is not a de Polignac number, because 456106552935 - 2⁵ = 456106552903 is a prime.

It is a super-2 number, since 2×456106552935² (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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, 1382140905 + ... + 1382141234.

It is an arithmetic number, because the mean of its divisors is an integer number (49757078520).

Almost surely, 2^456106552935 is an apocalyptic number.

456106552935 is a deficient number, since it is larger than the sum of its proper divisors (340006703385).

456106552935 is a wasteful number, since it uses less digits than its factorization.

456106552935 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2764282158.

The product of its (nonzero) digits is 4860000, while the sum is 51.

The spelling of 456106552935 in words is "four hundred fifty-six billion, one hundred six million, five hundred fifty-two thousand, nine hundred thirty-five".