13950997632 has 256 divisors, whose sum is σ = 48374928000. Its totient is φ = 3902238720.

The previous prime is 13950997547. The next prime is 13950997651. The reversal of 13950997632 is 23679905931.

It is a happy number.

13950997632 is a `hidden beast` number, since 1 + 39 + 509 + 9 + 76 + 32 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 480094 + ... + 508322.

Almost surely, 2^13950997632 is an apocalyptic number.

13950997632 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 13950997632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24187464000).

13950997632 is an abundant number, since it is smaller than the sum of its proper divisors (34423930368).

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

13950997632 is a wasteful number, since it uses less digits than its factorization.

13950997632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28276 (or 28258 counting only the distinct ones).

The product of its (nonzero) digits is 2755620, while the sum is 54.

The spelling of 13950997632 in words is "thirteen billion, nine hundred fifty million, nine hundred ninety-seven thousand, six hundred thirty-two".