645456567131001 has 24 divisors (see below), whose sum is σ = 962417217665280. Its totient is φ = 416416656520800.

The previous prime is 645456567130987. The next prime is 645456567131003. The reversal of 645456567131001 is 100131765654546.

645456567131001 is a `hidden beast` number, since 6 + 4 + 5 + 4 + 56 + 567 + 13 + 10 + 0 + 1 = 666.

It is not a de Polignac number, because 645456567131001 - 2¹⁰ = 645456567129977 is a prime.

It is a super-2 number, since 2×645456567131001² (a number of 30 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (645456567131003) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2455530 + ... + 36013091.

It is an arithmetic number, because the mean of its divisors is an integer number (40100717402720).

Almost surely, 2^{645456567131001} is an apocalyptic number.

It is an amenable number.

645456567131001 is a deficient number, since it is larger than the sum of its proper divisors (316960650534279).

645456567131001 is a wasteful number, since it uses less digits than its factorization.

645456567131001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38528797 (or 38528794 counting only the distinct ones).

The product of its (nonzero) digits is 9072000, while the sum is 54.

The spelling of 645456567131001 in words is "six hundred forty-five trillion, four hundred fifty-six billion, five hundred sixty-seven million, one hundred thirty-one thousand, one".