13978712392848 has 600 divisors, whose sum is σ = 47342411677440. Its totient is φ = 3981975137280.

The previous prime is 13978712392819. The next prime is 13978712392873. The reversal of 13978712392848 is 84829321787931.

It is a happy number.

13978712392848 is a `hidden beast` number, since 1 + 3 + 97 + 8 + 71 + 2 + 392 + 84 + 8 = 666.

It is a super-2 number, since 2×13978712392848² (a number of 27 digits) contains 22 as substring.

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

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

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 9387986088 + ... + 9387987576.

Almost surely, 2^{13978712392848} is an apocalyptic number.

13978712392848 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 13978712392848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23671205838720).

13978712392848 is an abundant number, since it is smaller than the sum of its proper divisors (33363699284592).

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

13978712392848 is an frugal number, since it uses more digits than its factorization.

13978712392848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1975 (or 1932 counting only the distinct ones).

The product of its digits is 292626432, while the sum is 72.

The spelling of 13978712392848 in words is "thirteen trillion, nine hundred seventy-eight billion, seven hundred twelve million, three hundred ninety-two thousand, eight hundred forty-eight".