13714780032 has 384 divisors, whose sum is σ = 44999136000. Its totient is φ = 4138573824.

The previous prime is 13714780019. The next prime is 13714780049. The reversal of 13714780032 is 23008741731.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×13714780032² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 13591944 + ... + 13592952.

It is an arithmetic number, because the mean of its divisors is an integer number (117185250).

Almost surely, 2^13714780032 is an apocalyptic number.

13714780032 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 13714780032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22499568000).

13714780032 is an abundant number, since it is smaller than the sum of its proper divisors (31284355968).

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

13714780032 is a wasteful number, since it uses less digits than its factorization.

13714780032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1080 (or 1056 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 36.

The spelling of 13714780032 in words is "thirteen billion, seven hundred fourteen million, seven hundred eighty thousand, thirty-two".