13722952320 has 384 divisors, whose sum is σ = 59081892480. Its totient is φ = 2851430400.

The previous prime is 13722952297. The next prime is 13722952333. The reversal of 13722952320 is 2325922731.

It is a happy number.

13722952320 is a `hidden beast` number, since 137 + 2 + 295 + 232 + 0 = 666.

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

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

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, 428050 + ... + 458990.

It is an arithmetic number, because the mean of its divisors is an integer number (153859095).

Almost surely, 2^13722952320 is an apocalyptic number.

13722952320 is a gapful number since it is divisible by the number (10) 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 13722952320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29540946240).

13722952320 is an abundant number, since it is smaller than the sum of its proper divisors (45358940160).

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

13722952320 is a wasteful number, since it uses less digits than its factorization.

13722952320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30984 (or 30969 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 36.

The spelling of 13722952320 in words is "thirteen billion, seven hundred twenty-two million, nine hundred fifty-two thousand, three hundred twenty".