13746432960 has 504 divisors, whose sum is σ = 52150572864. Its totient is φ = 3321077760.

The previous prime is 13746432943. The next prime is 13746432991. The reversal of 13746432960 is 6923464731.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 29689689 + ... + 29690151.

Almost surely, 2^13746432960 is an apocalyptic number.

13746432960 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 13746432960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26075286432).

13746432960 is an abundant number, since it is smaller than the sum of its proper divisors (38404139904).

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

13746432960 is a wasteful number, since it uses less digits than its factorization.

13746432960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 573 (or 547 counting only the distinct ones).

The product of its (nonzero) digits is 653184, while the sum is 45.

The spelling of 13746432960 in words is "thirteen billion, seven hundred forty-six million, four hundred thirty-two thousand, nine hundred sixty".