13813658460 has 192 divisors, whose sum is σ = 49708108800. Its totient is φ = 3119295744.

The previous prime is 13813658449. The next prime is 13813658461. The reversal of 13813658460 is 6485631831.

13813658460 is a `hidden beast` number, since 1 + 3 + 8 + 1 + 3 + 6 + 584 + 60 = 666.

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 (13813658461) 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, 291726 + ... + 335754.

It is an arithmetic number, because the mean of its divisors is an integer number (258896400).

Almost surely, 2^13813658460 is an apocalyptic number.

13813658460 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 13813658460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24854054400).

13813658460 is an abundant number, since it is smaller than the sum of its proper divisors (35894450340).

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

13813658460 is a wasteful number, since it uses less digits than its factorization.

13813658460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44137 (or 44129 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The spelling of 13813658460 in words is "thirteen billion, eight hundred thirteen million, six hundred fifty-eight thousand, four hundred sixty".