13253365664 has 144 divisors (see below), whose sum is σ = 33442476480. Its totient is φ = 5022812160.

The previous prime is 13253365663. The next prime is 13253365709. The reversal of 13253365664 is 46656335231.

It is a hoax number, since the sum of its digits (44) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is not an unprimeable number, because it can be changed into a prime (13253365663) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3371252 + ... + 3375180.

It is an arithmetic number, because the mean of its divisors is an integer number (232239420).

Almost surely, 2^13253365664 is an apocalyptic number.

13253365664 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 13253365664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16721238240).

13253365664 is an abundant number, since it is smaller than the sum of its proper divisors (20189110816).

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

13253365664 is a wasteful number, since it uses less digits than its factorization.

13253365664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4031 (or 3986 counting only the distinct ones).

The product of its digits is 1166400, while the sum is 44.

It can be divided in two parts, 1325336 and 5664, that added together give a cube (1331000 = 110³).

The spelling of 13253365664 in words is "thirteen billion, two hundred fifty-three million, three hundred sixty-five thousand, six hundred sixty-four".