13937408352 has 288 divisors, whose sum is σ = 49328697600. Its totient is φ = 3642153984.

The previous prime is 13937408351. The next prime is 13937408369. The reversal of 13937408352 is 25380473931.

It is a tau number, because it is divible by the number of its divisors (288).

It is a junction number, because it is equal to n+sod(n) for n = 13937408298 and 13937408307.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13937408351) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1104543 + ... + 1117089.

It is an arithmetic number, because the mean of its divisors is an integer number (171280200).

Almost surely, 2^13937408352 is an apocalyptic number.

13937408352 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 13937408352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24664348800).

13937408352 is an abundant number, since it is smaller than the sum of its proper divisors (35391289248).

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

13937408352 is a wasteful number, since it uses less digits than its factorization.

13937408352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12618 (or 12607 counting only the distinct ones).

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

The spelling of 13937408352 in words is "thirteen billion, nine hundred thirty-seven million, four hundred eight thousand, three hundred fifty-two".