11814000640 has 96 divisors (see below), whose sum is σ = 30527537040. Its totient is φ = 4362043392.

The previous prime is 11814000619. The next prime is 11814000659. The reversal of 11814000640 is 4600041811.

It is a super-2 number, since 2×11814000640² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 88747 + ... + 177493.

Almost surely, 2^11814000640 is an apocalyptic number.

11814000640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

11814000640 is the 88747-th pentagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11814000640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15263768520).

11814000640 is an abundant number, since it is smaller than the sum of its proper divisors (18713536400).

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

11814000640 is an equidigital number, since it uses as much as digits as its factorization.

11814000640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 88787 (or 88767 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 25.

The spelling of 11814000640 in words is "eleven billion, eight hundred fourteen million, six hundred forty", and thus it is an aban number.