13694500008 has 512 divisors, whose sum is σ = 47900160000. Its totient is φ = 3610414080.

The previous prime is 13694500007. The next prime is 13694500063. The reversal of 13694500008 is 80000549631.

It is a super-2 number, since 2×13694500008² (a number of 21 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (13694500007) 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, 104538103 + ... + 104538233.

It is an arithmetic number, because the mean of its divisors is an integer number (93555000).

Almost surely, 2^13694500008 is an apocalyptic number.

13694500008 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 13694500008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23950080000).

13694500008 is an abundant number, since it is smaller than the sum of its proper divisors (34205659992).

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

13694500008 is a wasteful number, since it uses less digits than its factorization.

13694500008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 267 (or 243 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The spelling of 13694500008 in words is "thirteen billion, six hundred ninety-four million, five hundred thousand, eight".