13285761408 has 48 divisors (see below), whose sum is σ = 38231165700. Its totient is φ = 4428586752.

The previous prime is 13285761403. The next prime is 13285761413. The reversal of 13285761408 is 80416758231.

13285761408 is a `hidden beast` number, since 1 + 3 + 28 + 5 + 7 + 614 + 0 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (13285761403) and next prime (13285761413).

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×13285761408² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13285761403) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 5765238 + ... + 5767541.

Almost surely, 2^13285761408 is an apocalyptic number.

13285761408 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

13285761408 is an abundant number, since it is smaller than the sum of its proper divisors (24945404292).

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

13285761408 is a wasteful number, since it uses less digits than its factorization.

13285761408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11532799 (or 11532784 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The spelling of 13285761408 in words is "thirteen billion, two hundred eighty-five million, seven hundred sixty-one thousand, four hundred eight".