13496109408 has 384 divisors, whose sum is σ = 42361159680. Its totient is φ = 4173120000.

The previous prime is 13496109391. The next prime is 13496109409. The reversal of 13496109408 is 80490169431.

13496109408 is a `hidden beast` number, since 13 + 496 + 109 + 40 + 8 = 666.

It is a super-2 number, since 2×13496109408² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13496109409) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 89378133 + ... + 89378283.

It is an arithmetic number, because the mean of its divisors is an integer number (110315520).

Almost surely, 2^13496109408 is an apocalyptic number.

13496109408 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 13496109408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21180579840).

13496109408 is an abundant number, since it is smaller than the sum of its proper divisors (28865050272).

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

13496109408 is a wasteful number, since it uses less digits than its factorization.

13496109408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 319 (or 305 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 45.

The spelling of 13496109408 in words is "thirteen billion, four hundred ninety-six million, one hundred nine thousand, four hundred eight".