13977923355648 has 1408 divisors, whose sum is σ = 50533453824000. Its totient is φ = 3858279505920.

The previous prime is 13977923355623. The next prime is 13977923355653. The reversal of 13977923355648 is 84655332977931.

13977923355648 is a `hidden beast` number, since 1 + 3 + 9 + 7 + 7 + 9 + 23 + 3 + 556 + 48 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

Its product of digits (1028764800) is a multiple of the sum of its prime divisors (630).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 23812475611 + ... + 23812476197.

Almost surely, 2^{13977923355648} is an apocalyptic number.

13977923355648 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 13977923355648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25266726912000).

13977923355648 is an abundant number, since it is smaller than the sum of its proper divisors (36555530468352).

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

13977923355648 is an frugal number, since it uses more digits than its factorization.

13977923355648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 680 (or 630 counting only the distinct ones).

The product of its digits is 1028764800, while the sum is 72.

The spelling of 13977923355648 in words is "thirteen trillion, nine hundred seventy-seven billion, nine hundred twenty-three million, three hundred fifty-five thousand, six hundred forty-eight".