13355988693264 has 240 divisors, whose sum is σ = 44654147665920. Its totient is φ = 3646153854720.

The previous prime is 13355988693263. The next prime is 13355988693283. The reversal of 13355988693264 is 46239688955331.

13355988693264 is a `hidden beast` number, since 1 + 3 + 3 + 5 + 598 + 8 + 6 + 9 + 3 + 26 + 4 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 13355988693192 and 13355988693201.

It is not an unprimeable number, because it can be changed into a prime (13355988693263) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 236592 + ... + 5173775.

It is an arithmetic number, because the mean of its divisors is an integer number (186058948608).

Almost surely, 2^{13355988693264} is an apocalyptic number.

13355988693264 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 13355988693264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22327073832960).

13355988693264 is an abundant number, since it is smaller than the sum of its proper divisors (31298158972656).

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

13355988693264 is a wasteful number, since it uses less digits than its factorization.

13355988693264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5410498 (or 5410489 counting only the distinct ones).

The product of its digits is 1007769600, while the sum is 72.

The spelling of 13355988693264 in words is "thirteen trillion, three hundred fifty-five billion, nine hundred eighty-eight million, six hundred ninety-three thousand, two hundred sixty-four".