13990378752 has 576 divisors, whose sum is σ = 50967221760. Its totient is φ = 3694657536.

The previous prime is 13990378729. The next prime is 13990378757. The reversal of 13990378752 is 25787309931.

13990378752 is a `hidden beast` number, since 139 + 90 + 378 + 7 + 52 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13990378757) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 60044428 + ... + 60044660.

It is an arithmetic number, because the mean of its divisors is an integer number (88484760).

Almost surely, 2^13990378752 is an apocalyptic number.

13990378752 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 13990378752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25483610880).

13990378752 is an abundant number, since it is smaller than the sum of its proper divisors (36976843008).

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

13990378752 is a wasteful number, since it uses less digits than its factorization.

13990378752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 355 (or 335 counting only the distinct ones).

The product of its (nonzero) digits is 2857680, while the sum is 54.

The spelling of 13990378752 in words is "thirteen billion, nine hundred ninety million, three hundred seventy-eight thousand, seven hundred fifty-two".