13629658752 has 160 divisors (see below), whose sum is σ = 40958654880. Its totient is φ = 4498758144.

The previous prime is 13629658747. The next prime is 13629658753. The reversal of 13629658752 is 25785692631.

13629658752 is a `hidden beast` number, since 1 + 3 + 6 + 2 + 9 + 6 + 587 + 52 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (13629658753) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1061523 + ... + 1074285.

It is an arithmetic number, because the mean of its divisors is an integer number (255991593).

Almost surely, 2^13629658752 is an apocalyptic number.

13629658752 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 13629658752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20479327440).

13629658752 is an abundant number, since it is smaller than the sum of its proper divisors (27328996128).

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

13629658752 is a wasteful number, since it uses less digits than its factorization.

13629658752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12892 (or 12871 counting only the distinct ones).

The product of its digits is 5443200, while the sum is 54.

The spelling of 13629658752 in words is "thirteen billion, six hundred twenty-nine million, six hundred fifty-eight thousand, seven hundred fifty-two".