13952693470464 has 1512 divisors, whose sum is σ = 50831348020992. Its totient is φ = 3804979691520.

The previous prime is 13952693470459. The next prime is 13952693470501. The reversal of 13952693470464 is 46407439625931.

It is a happy number.

13952693470464 is a `hidden beast` number, since 1 + 3 + 9 + 526 + 9 + 3 + 47 + 0 + 4 + 64 = 666.

It is a tau number, because it is divible by the number of its divisors (1512).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 23528993752 + ... + 23528994344.

It is an arithmetic number, because the mean of its divisors is an integer number (33618616416).

Almost surely, 2^{13952693470464} is an apocalyptic number.

13952693470464 is a gapful number since it is divisible by the number (14) 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 13952693470464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25415674010496).

13952693470464 is an abundant number, since it is smaller than the sum of its proper divisors (36878654550528).

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

13952693470464 is an frugal number, since it uses more digits than its factorization.

13952693470464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 755 (or 719 counting only the distinct ones).

The product of its (nonzero) digits is 117573120, while the sum is 63.

The spelling of 13952693470464 in words is "thirteen trillion, nine hundred fifty-two billion, six hundred ninety-three million, four hundred seventy thousand, four hundred sixty-four".