13385249460 has 96 divisors (see below), whose sum is σ = 45428745600. Its totient is φ = 3244907520.

The previous prime is 13385249443. The next prime is 13385249473. The reversal of 13385249460 is 6494258331.

13385249460 is a `hidden beast` number, since 1 + 3 + 38 + 524 + 94 + 6 + 0 = 666.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1120765 + ... + 1132644.

It is an arithmetic number, because the mean of its divisors is an integer number (473216100).

Almost surely, 2^13385249460 is an apocalyptic number.

13385249460 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13385249460 is an abundant number, since it is smaller than the sum of its proper divisors (32043496140).

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

13385249460 is a wasteful number, since it uses less digits than its factorization.

13385249460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2253438 (or 2253430 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 45.

The spelling of 13385249460 in words is "thirteen billion, three hundred eighty-five million, two hundred forty-nine thousand, four hundred sixty".