13945732416 has 1120 divisors, whose sum is σ = 56648908800. Its totient is φ = 3353011200.

The previous prime is 13945732399. The next prime is 13945732469. The reversal of 13945732416 is 61423754931.

13945732416 is a `hidden beast` number, since 1 + 39 + 4 + 573 + 2 + 41 + 6 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 449862321 + ... + 449862351.

Almost surely, 2^13945732416 is an apocalyptic number.

13945732416 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 13945732416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28324454400).

13945732416 is an abundant number, since it is smaller than the sum of its proper divisors (42703176384).

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

13945732416 is a wasteful number, since it uses less digits than its factorization.

13945732416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 110 (or 77 counting only the distinct ones).

The product of its digits is 544320, while the sum is 45.

The spelling of 13945732416 in words is "thirteen billion, nine hundred forty-five million, seven hundred thirty-two thousand, four hundred sixteen".