13690417152 has 104 divisors (see below), whose sum is σ = 38651166576. Its totient is φ = 4294967296.

The previous prime is 13690417151. The next prime is 13690417159. The reversal of 13690417152 is 25171409631.

It is a super-2 number, since 2×13690417152² (a number of 21 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is a zygodrome in base 2 and base 16.

It is a self number, because there is not a number n which added to its sum of digits gives 13690417152.

It is not an unprimeable number, because it can be changed into a prime (13690417151) by changing a digit.

In principle, a polygon with 13690417152 sides can be constructed with ruler and compass.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 176128 + ... + 241664.

Almost surely, 2^13690417152 is an apocalyptic number.

13690417152 is a gapful number since it is divisible by the number (12) 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 13690417152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19325583288).

13690417152 is an abundant number, since it is smaller than the sum of its proper divisors (24960749424).

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

13690417152 is an equidigital number, since it uses as much as digits as its factorization.

13690417152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 65581 (or 65559 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 39.

The spelling of 13690417152 in words is "thirteen billion, six hundred ninety million, four hundred seventeen thousand, one hundred fifty-two".