13745630976 has 576 divisors, whose sum is σ = 49123501056. Its totient is φ = 3330539520.

The previous prime is 13745630947. The next prime is 13745631041. The reversal of 13745630976 is 67903654731.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 121642696 + ... + 121642808.

It is an arithmetic number, because the mean of its divisors is an integer number (85283856).

Almost surely, 2^13745630976 is an apocalyptic number.

13745630976 is a gapful number since it is divisible by the number (16) 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 13745630976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24561750528).

13745630976 is an abundant number, since it is smaller than the sum of its proper divisors (35377870080).

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

13745630976 is a wasteful number, since it uses less digits than its factorization.

13745630976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 189 (or 153 counting only the distinct ones).

The product of its (nonzero) digits is 2857680, while the sum is 51.

The spelling of 13745630976 in words is "thirteen billion, seven hundred forty-five million, six hundred thirty thousand, nine hundred seventy-six".