64893867560361 has 18 divisors (see below), whose sum is σ = 109039355697402. Its totient is φ = 37082210034240.

The previous prime is 64893867560351. The next prime is 64893867560371. The reversal of 64893867560361 is 16306576839846.

64893867560361 is a `hidden beast` number, since 6 + 4 + 8 + 9 + 3 + 8 + 6 + 7 + 5 + 603 + 6 + 1 = 666.

It is an interprime number because it is at equal distance from previous prime (64893867560351) and next prime (64893867560371).

It can be written as a sum of positive squares in only one way, i.e., 35439161486400 + 29454706073961 = 5953080^2 + 5427219^2 .

It is not a de Polignac number, because 64893867560361 - 2²⁶ = 64893800451497 is a prime.

It is a super-2 number, since 2×64893867560361² (a number of 28 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 64893867560361.

It is not an unprimeable number, because it can be changed into a prime (64893867560341) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 73575813120 + ... + 73575814001.

It is an arithmetic number, because the mean of its divisors is an integer number (6057741983189).

Almost surely, 2^{64893867560361} is an apocalyptic number.

It is an amenable number.

64893867560361 is a deficient number, since it is larger than the sum of its proper divisors (44145488137041).

64893867560361 is a wasteful number, since it uses less digits than its factorization.

64893867560361 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 147151627141 (or 147151627131 counting only the distinct ones).

The product of its (nonzero) digits is 940584960, while the sum is 72.

The spelling of 64893867560361 in words is "sixty-four trillion, eight hundred ninety-three billion, eight hundred sixty-seven million, five hundred sixty thousand, three hundred sixty-one".