11586948464 has 120 divisors (see below), whose sum is σ = 29347184160. Its totient is φ = 4384461312.

The previous prime is 11586948449. The next prime is 11586948473. The reversal of 11586948464 is 46484968511.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (56).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 209702 + ... + 259130.

It is an arithmetic number, because the mean of its divisors is an integer number (244559868).

Almost surely, 2^11586948464 is an apocalyptic number.

11586948464 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 11586948464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14673592080).

11586948464 is an abundant number, since it is smaller than the sum of its proper divisors (17760235696).

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

11586948464 is a wasteful number, since it uses less digits than its factorization.

11586948464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49487 (or 49474 counting only the distinct ones).

The product of its digits is 6635520, while the sum is 56.

The spelling of 11586948464 in words is "eleven billion, five hundred eighty-six million, nine hundred forty-eight thousand, four hundred sixty-four".