5651009111664 has 240 divisors, whose sum is σ = 18266884219584. Its totient is φ = 1597390848000.

The previous prime is 5651009111663. The next prime is 5651009111687. The reversal of 5651009111664 is 4661119001565.

5651009111664 is a `hidden beast` number, since 56 + 510 + 0 + 9 + 11 + 16 + 64 = 666.

It is a super-3 number, since 3×5651009111664³ (a number of 39 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5651009111663) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 140576752 + ... + 140616944.

Almost surely, 2^{5651009111664} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5651009111664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9133442109792).

5651009111664 is an abundant number, since it is smaller than the sum of its proper divisors (12615875107920).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

5651009111664 is a wasteful number, since it uses less digits than its factorization.

5651009111664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41696 (or 41687 counting only the distinct ones).

The product of its (nonzero) digits is 194400, while the sum is 45.

The spelling of 5651009111664 in words is "five trillion, six hundred fifty-one billion, nine million, one hundred eleven thousand, six hundred sixty-four".