13961112480 has 192 divisors, whose sum is σ = 55844570880. Its totient is φ = 3191104512.

The previous prime is 13961112457. The next prime is 13961112523. The reversal of 13961112480 is 8421116931.

13961112480 is a `hidden beast` number, since 1 + 3 + 9 + 61 + 112 + 480 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 200599 + ... + 261078.

It is an arithmetic number, because the mean of its divisors is an integer number (290857140).

Almost surely, 2^13961112480 is an apocalyptic number.

13961112480 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13961112480 is an abundant number, since it is smaller than the sum of its proper divisors (41883458400).

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

13961112480 is a wasteful number, since it uses less digits than its factorization.

13961112480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 461708 (or 461694 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 36.

The spelling of 13961112480 in words is "thirteen billion, nine hundred sixty-one million, one hundred twelve thousand, four hundred eighty".