13355688964608 has 480 divisors, whose sum is σ = 42674832135936. Its totient is φ = 3999605981184.

The previous prime is 13355688964561. The next prime is 13355688964619. The reversal of 13355688964608 is 80646988655331.

13355688964608 is a `hidden beast` number, since 1 + 3 + 3 + 5 + 5 + 6 + 8 + 8 + 9 + 6 + 4 + 608 = 666.

It is a super-2 number, since 2×13355688964608² (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 an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 906261816 + ... + 906276552.

Almost surely, 2^{13355688964608} is an apocalyptic number.

13355688964608 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 13355688964608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21337416067968).

13355688964608 is an abundant number, since it is smaller than the sum of its proper divisors (29319143171328).

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

13355688964608 is a wasteful number, since it uses less digits than its factorization.

13355688964608 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15304 (or 15285 counting only the distinct ones).

The product of its (nonzero) digits is 895795200, while the sum is 72.

The spelling of 13355688964608 in words is "thirteen trillion, three hundred fifty-five billion, six hundred eighty-eight million, nine hundred sixty-four thousand, six hundred eight".