11465264496 has 80 divisors (see below), whose sum is σ = 33892473600. Its totient is φ = 3271663104.

The previous prime is 11465264443. The next prime is 11465264501. The reversal of 11465264496 is 69446256411.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 250735 + ... + 292913.

It is an arithmetic number, because the mean of its divisors is an integer number (423655920).

Almost surely, 2^11465264496 is an apocalyptic number.

11465264496 is a gapful number since it is divisible by the number (16) 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 11465264496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16946236800).

11465264496 is an abundant number, since it is smaller than the sum of its proper divisors (22427209104).

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

11465264496 is a wasteful number, since it uses less digits than its factorization.

11465264496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43006 (or 43000 counting only the distinct ones).

The product of its digits is 1244160, while the sum is 48.

The spelling of 11465264496 in words is "eleven billion, four hundred sixty-five million, two hundred sixty-four thousand, four hundred ninety-six".