13964085791904 has 288 divisors, whose sum is σ = 38183351088960. Its totient is φ = 4468188303360.

The previous prime is 13964085791833. The next prime is 13964085791921. The reversal of 13964085791904 is 40919758046931.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6485872492 + ... + 6485874644.

It is an arithmetic number, because the mean of its divisors is an integer number (132581080170).

Almost surely, 2^{13964085791904} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13964085791904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19091675544480).

13964085791904 is an abundant number, since it is smaller than the sum of its proper divisors (24219265297056).

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

13964085791904 is a wasteful number, since it uses less digits than its factorization.

13964085791904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2764 (or 2725 counting only the distinct ones).

The product of its (nonzero) digits is 58786560, while the sum is 66.

The spelling of 13964085791904 in words is "thirteen trillion, nine hundred sixty-four billion, eighty-five million, seven hundred ninety-one thousand, nine hundred four".