11545364264 has 64 divisors (see below), whose sum is σ = 25571276160. Its totient is φ = 4783484160.

The previous prime is 11545364219. The next prime is 11545364267. The reversal of 11545364264 is 46246354511.

It is not an unprimeable number, because it can be changed into a prime (11545364267) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 307559 + ... + 343049.

It is an arithmetic number, because the mean of its divisors is an integer number (399551190).

Almost surely, 2^11545364264 is an apocalyptic number.

11545364264 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 11545364264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12785638080).

11545364264 is an abundant number, since it is smaller than the sum of its proper divisors (14025911896).

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

11545364264 is a wasteful number, since it uses less digits than its factorization.

11545364264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35698 (or 35694 counting only the distinct ones).

The product of its digits is 345600, while the sum is 41.

The spelling of 11545364264 in words is "eleven billion, five hundred forty-five million, three hundred sixty-four thousand, two hundred sixty-four".