13374944016 has 80 divisors (see below), whose sum is σ = 39552956544. Its totient is φ = 3815119872.

The previous prime is 13374943993. The next prime is 13374944029. The reversal of 13374944016 is 61044947331.

It is a super-2 number, since 2×13374944016² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 173500 + ... + 238436.

Almost surely, 2^13374944016 is an apocalyptic number.

13374944016 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 13374944016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19776478272).

13374944016 is an abundant number, since it is smaller than the sum of its proper divisors (26178012528).

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

13374944016 is a wasteful number, since it uses less digits than its factorization.

13374944016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 65568 (or 65562 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 42.

The spelling of 13374944016 in words is "thirteen billion, three hundred seventy-four million, nine hundred forty-four thousand, sixteen".