11459664864 has 360 divisors, whose sum is σ = 36641443608. Its totient is φ = 3510397440.

The previous prime is 11459664859. The next prime is 11459664869. The reversal of 11459664864 is 46846695411.

11459664864 is a `hidden beast` number, since 1 + 1 + 4 + 596 + 6 + 48 + 6 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (11459664859) and next prime (11459664869).

It is a super-2 number, since 2×11459664864² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 11459664864.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11459664869) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 34621179 + ... + 34621509.

Almost surely, 2^11459664864 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 11459664864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18320721804).

11459664864 is an abundant number, since it is smaller than the sum of its proper divisors (25181778744).

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

11459664864 is a wasteful number, since it uses less digits than its factorization.

11459664864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 428 (or 392 counting only the distinct ones).

The product of its digits is 4976640, while the sum is 54.

The spelling of 11459664864 in words is "eleven billion, four hundred fifty-nine million, six hundred sixty-four thousand, eight hundred sixty-four".