13374938496 has 192 divisors, whose sum is σ = 37997660160. Its totient is φ = 4167475200.

The previous prime is 13374938491. The next prime is 13374938519. The reversal of 13374938496 is 69483947331.

It is a tau number, because it is divible by the number of its divisors (192).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13374938491) 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, 21196101 + ... + 21196731.

It is an arithmetic number, because the mean of its divisors is an integer number (197904480).

Almost surely, 2^13374938496 is an apocalyptic number.

13374938496 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 13374938496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18998830080).

13374938496 is an abundant number, since it is smaller than the sum of its proper divisors (24622721664).

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

13374938496 is a wasteful number, since it uses less digits than its factorization.

13374938496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 873 (or 844 counting only the distinct ones).

The product of its digits is 11757312, while the sum is 57.

The spelling of 13374938496 in words is "thirteen billion, three hundred seventy-four million, nine hundred thirty-eight thousand, four hundred ninety-six".