13868314740 has 288 divisors, whose sum is σ = 51061570560. Its totient is φ = 2974261248.

The previous prime is 13868314727. The next prime is 13868314741. The reversal of 13868314740 is 4741386831.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13868314741) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 8759989 + ... + 8761571.

It is an arithmetic number, because the mean of its divisors is an integer number (177297120).

Almost surely, 2^13868314740 is an apocalyptic number.

13868314740 is a gapful number since it is divisible by the number (10) 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 13868314740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25530785280).

13868314740 is an abundant number, since it is smaller than the sum of its proper divisors (37193255820).

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

13868314740 is a wasteful number, since it uses less digits than its factorization.

13868314740 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2031 (or 2026 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The spelling of 13868314740 in words is "thirteen billion, eight hundred sixty-eight million, three hundred fourteen thousand, seven hundred forty".