45676456001 has 16 divisors (see below), whose sum is σ = 53395651008. Its totient is φ = 38610585600.

The previous prime is 45676455949. The next prime is 45676456013. The reversal of 45676456001 is 10065467654.

It is a cyclic number.

It is not a de Polignac number, because 45676456001 - 2¹⁴ = 45676439617 is a prime.

It is a super-2 number, since 2×45676456001² (a number of 22 digits) contains 22 as substring.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (45676456031) 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, 1455920 + ... + 1486961.

It is an arithmetic number, because the mean of its divisors is an integer number (3337228188).

Almost surely, 2^45676456001 is an apocalyptic number.

It is an amenable number.

45676456001 is a deficient number, since it is larger than the sum of its proper divisors (7719195007).

45676456001 is a wasteful number, since it uses less digits than its factorization.

45676456001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2942992.

The product of its (nonzero) digits is 604800, while the sum is 44.

The spelling of 45676456001 in words is "forty-five billion, six hundred seventy-six million, four hundred fifty-six thousand, one".