11662564450264 has 128 divisors (see below), whose sum is σ = 27151567027200. Its totient is φ = 4573053688320.

The previous prime is 11662564450261. The next prime is 11662564450283. The reversal of 11662564450264 is 46205446526611.

It is a Harshad number since it is a multiple of its sum of digits (52).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11662564450261) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 79940874 + ... + 80086630.

It is an arithmetic number, because the mean of its divisors is an integer number (212121617400).

Almost surely, 2^{11662564450264} is an apocalyptic number.

11662564450264 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 11662564450264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13575783513600).

11662564450264 is an abundant number, since it is smaller than the sum of its proper divisors (15489002576936).

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

11662564450264 is a wasteful number, since it uses less digits than its factorization.

11662564450264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 146753 (or 146749 counting only the distinct ones).

The product of its (nonzero) digits is 8294400, while the sum is 52.

The spelling of 11662564450264 in words is "eleven trillion, six hundred sixty-two billion, five hundred sixty-four million, four hundred fifty thousand, two hundred sixty-four".