13432623984 has 400 divisors, whose sum is σ = 44744448672. Its totient is φ = 3869835264.

The previous prime is 13432623983. The next prime is 13432624019. The reversal of 13432623984 is 48932623431.

13432623984 is a `hidden beast` number, since 13 + 4 + 3 + 2 + 623 + 9 + 8 + 4 = 666.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13432623983) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 69598992 + ... + 69599184.

Almost surely, 2^13432623984 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13432623984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22372224336).

13432623984 is an abundant number, since it is smaller than the sum of its proper divisors (31311824688).

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

13432623984 is an equidigital number, since it uses as much as digits as its factorization.

13432623984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 258 (or 228 counting only the distinct ones).

The product of its digits is 746496, while the sum is 45.

The spelling of 13432623984 in words is "thirteen billion, four hundred thirty-two million, six hundred twenty-three thousand, nine hundred eighty-four".