13900248608 has 96 divisors (see below), whose sum is σ = 29512486080. Its totient is φ = 6424704000.

The previous prime is 13900248581. The next prime is 13900248647. The reversal of 13900248608 is 80684200931.

It is a super-2 number, since 2×13900248608² (a number of 21 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (41) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4857098 + ... + 4859958.

It is an arithmetic number, because the mean of its divisors is an integer number (307421730).

Almost surely, 2^13900248608 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13900248608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14756243040).

13900248608 is an abundant number, since it is smaller than the sum of its proper divisors (15612237472).

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

13900248608 is a wasteful number, since it uses less digits than its factorization.

13900248608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3082 (or 3074 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 41.

The spelling of 13900248608 in words is "thirteen billion, nine hundred million, two hundred forty-eight thousand, six hundred eight".