13697893874448 has 120 divisors (see below), whose sum is σ = 43825565428736. Its totient is φ = 3912429081600.

The previous prime is 13697893874429. The next prime is 13697893874461. The reversal of 13697893874448 is 84447839879631.

13697893874448 is a `hidden beast` number, since 1 + 3 + 6 + 9 + 7 + 8 + 93 + 87 + 4 + 448 = 666.

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 968913 + ... + 5323023.

Almost surely, 2^{13697893874448} is an apocalyptic number.

13697893874448 is a gapful number since it is divisible by the number (18) 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 13697893874448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21912782714368).

13697893874448 is an abundant number, since it is smaller than the sum of its proper divisors (30127671554288).

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

13697893874448 is a wasteful number, since it uses less digits than its factorization.

13697893874448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4357253 (or 4357244 counting only the distinct ones).

The product of its digits is 7023034368, while the sum is 81.

The spelling of 13697893874448 in words is "thirteen trillion, six hundred ninety-seven billion, eight hundred ninety-three million, eight hundred seventy-four thousand, four hundred forty-eight".