13456905839616 has 352 divisors, whose sum is σ = 40300492308480. Its totient is φ = 3969753677824.

The previous prime is 13456905839549. The next prime is 13456905839669. The reversal of 13456905839616 is 61693850965431.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 70773025 + ... + 70962911.

Almost surely, 2^{13456905839616} is an apocalyptic number.

13456905839616 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 13456905839616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20150246154240).

13456905839616 is an abundant number, since it is smaller than the sum of its proper divisors (26843586468864).

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

13456905839616 is a wasteful number, since it uses less digits than its factorization.

13456905839616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 190009 (or 189991 counting only the distinct ones).

The product of its (nonzero) digits is 125971200, while the sum is 66.

The spelling of 13456905839616 in words is "thirteen trillion, four hundred fifty-six billion, nine hundred five million, eight hundred thirty-nine thousand, six hundred sixteen".