13623907752 has 512 divisors, whose sum is σ = 48491520000. Its totient is φ = 3491921664.

The previous prime is 13623907741. The next prime is 13623907757. The reversal of 13623907752 is 25770932631.

13623907752 is a `hidden beast` number, since 13 + 623 + 9 + 0 + 7 + 7 + 5 + 2 = 666.

It is a super-2 number, since 2×13623907752² (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 13623907698 and 13623907707.

It is not an unprimeable number, because it can be changed into a prime (13623907757) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 68461749 + ... + 68461947.

It is an arithmetic number, because the mean of its divisors is an integer number (94710000).

Almost surely, 2^13623907752 is an apocalyptic number.

13623907752 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 13623907752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24245760000).

13623907752 is an abundant number, since it is smaller than the sum of its proper divisors (34867612248).

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

13623907752 is a wasteful number, since it uses less digits than its factorization.

13623907752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 289 (or 267 counting only the distinct ones).

The product of its (nonzero) digits is 476280, while the sum is 45.

The spelling of 13623907752 in words is "thirteen billion, six hundred twenty-three million, nine hundred seven thousand, seven hundred fifty-two".