13955093970912 has 480 divisors, whose sum is σ = 45781560871200. Its totient is φ = 4151114956800.

The previous prime is 13955093970911. The next prime is 13955093970919. The reversal of 13955093970912 is 21907939055931.

13955093970912 is a `hidden beast` number, since 1 + 3 + 9 + 5 + 509 + 39 + 7 + 0 + 91 + 2 = 666.

It is a super-2 number, since 2×13955093970912² (a number of 27 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 13955093970912.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13955093970911) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 58436712 + ... + 58675032.

It is an arithmetic number, because the mean of its divisors is an integer number (95378251815).

Almost surely, 2^{13955093970912} is an apocalyptic number.

13955093970912 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 13955093970912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22890780435600).

13955093970912 is an abundant number, since it is smaller than the sum of its proper divisors (31826466900288).

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

13955093970912 is a wasteful number, since it uses less digits than its factorization.

13955093970912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 238432 (or 238415 counting only the distinct ones).

The product of its (nonzero) digits is 20667150, while the sum is 63.

The spelling of 13955093970912 in words is "thirteen trillion, nine hundred fifty-five billion, ninety-three million, nine hundred seventy thousand, nine hundred twelve".