13307364972 has 144 divisors (see below), whose sum is σ = 37749583872. Its totient is φ = 3917773440.

The previous prime is 13307364949. The next prime is 13307364977. The reversal of 13307364972 is 27946370331.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (13307364977) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3352533 + ... + 3356499.

It is an arithmetic number, because the mean of its divisors is an integer number (262149888).

Almost surely, 2^13307364972 is an apocalyptic number.

13307364972 is a gapful number since it is divisible by the number (12) 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 13307364972, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18874791936).

13307364972 is an abundant number, since it is smaller than the sum of its proper divisors (24442218900).

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

13307364972 is a wasteful number, since it uses less digits than its factorization.

13307364972 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4228 (or 4223 counting only the distinct ones).

The product of its (nonzero) digits is 571536, while the sum is 45.

The spelling of 13307364972 in words is "thirteen billion, three hundred seven million, three hundred sixty-four thousand, nine hundred seventy-two".