13951319668352 has 256 divisors, whose sum is σ = 31525452201600. Its totient is φ = 6094616985600.

The previous prime is 13951319668339. The next prime is 13951319668367. The reversal of 13951319668352 is 25386691315931.

It is a hoax number, since the sum of its digits (62) coincides with the sum of the digits of its distinct prime factors.

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, 1423163483 + ... + 1423173285.

Almost surely, 2^{13951319668352} 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 13951319668352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15762726100800).

13951319668352 is an abundant number, since it is smaller than the sum of its proper divisors (17574132533248).

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

13951319668352 is a wasteful number, since it uses less digits than its factorization.

13951319668352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10235 (or 10223 counting only the distinct ones).

The product of its digits is 31492800, while the sum is 62.

The spelling of 13951319668352 in words is "thirteen trillion, nine hundred fifty-one billion, three hundred nineteen million, six hundred sixty-eight thousand, three hundred fifty-two".