13465796393088 has 1024 divisors, whose sum is σ = 46810068480000. Its totient is φ = 3774880972800.

The previous prime is 13465796393083. The next prime is 13465796393143. The reversal of 13465796393088 is 88039369756431.

13465796393088 is a `hidden beast` number, since 1 + 3 + 46 + 579 + 6 + 3 + 9 + 3 + 0 + 8 + 8 = 666.

It is a super-2 number, since 2×13465796393088² (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 not an unprimeable number, because it can be changed into a prime (13465796393083) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2484920043 + ... + 2484925461.

It is an arithmetic number, because the mean of its divisors is an integer number (45712957500).

Almost surely, 2^{13465796393088} is an apocalyptic number.

13465796393088 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 13465796393088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23405034240000).

13465796393088 is an abundant number, since it is smaller than the sum of its proper divisors (33344272086912).

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

13465796393088 is a wasteful number, since it uses less digits than its factorization.

13465796393088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5586 (or 5568 counting only the distinct ones).

The product of its (nonzero) digits is 705438720, while the sum is 72.

The spelling of 13465796393088 in words is "thirteen trillion, four hundred sixty-five billion, seven hundred ninety-six million, three hundred ninety-three thousand, eighty-eight".