11741512664 has 64 divisors (see below), whose sum is σ = 25650777600. Its totient is φ = 4934893824.

The previous prime is 11741512661. The next prime is 11741512667. The reversal of 11741512664 is 46621514711.

It is an interprime number because it is at equal distance from previous prime (11741512661) and next prime (11741512667).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11741512661) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 627557 + ... + 645995.

It is an arithmetic number, because the mean of its divisors is an integer number (400793400).

Almost surely, 2^11741512664 is an apocalyptic number.

11741512664 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11741512664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12825388800).

11741512664 is an abundant number, since it is smaller than the sum of its proper divisors (13909264936).

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

11741512664 is a wasteful number, since it uses less digits than its factorization.

11741512664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18672 (or 18668 counting only the distinct ones).

The product of its digits is 40320, while the sum is 38.

The spelling of 11741512664 in words is "eleven billion, seven hundred forty-one million, five hundred twelve thousand, six hundred sixty-four".