13960108228608 has 600 divisors, whose sum is σ = 42523601784048. Its totient is φ = 4581884952576.

The previous prime is 13960108228589. The next prime is 13960108228637. The reversal of 13960108228608 is 80682280106931.

13960108228608 is a `hidden beast` number, since 1 + 3 + 9 + 6 + 0 + 1 + 0 + 8 + 2 + 28 + 608 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 23541497560 + ... + 23541498152.

Almost surely, 2^{13960108228608} is an apocalyptic number.

13960108228608 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 13960108228608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21261800892024).

13960108228608 is an abundant number, since it is smaller than the sum of its proper divisors (28563493555440).

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

13960108228608 is an frugal number, since it uses more digits than its factorization.

13960108228608 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 721 (or 671 counting only the distinct ones).

The product of its (nonzero) digits is 1990656, while the sum is 54.

The spelling of 13960108228608 in words is "thirteen trillion, nine hundred sixty billion, one hundred eight million, two hundred twenty-eight thousand, six hundred eight".