13895423136 has 432 divisors, whose sum is σ = 49548215808. Its totient is φ = 3672345600.

The previous prime is 13895423117. The next prime is 13895423137. The reversal of 13895423136 is 63132459831.

13895423136 is a `hidden beast` number, since 1 + 3 + 8 + 95 + 423 + 136 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 13895423091 and 13895423100.

It is not an unprimeable number, because it can be changed into a prime (13895423137) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 10061166 + ... + 10062546.

It is an arithmetic number, because the mean of its divisors is an integer number (114694944).

Almost surely, 2^13895423136 is an apocalyptic number.

13895423136 is a gapful number since it is divisible by the number (16) 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 13895423136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24774107904).

13895423136 is an abundant number, since it is smaller than the sum of its proper divisors (35652792672).

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

13895423136 is a wasteful number, since it uses less digits than its factorization.

13895423136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1465 (or 1447 counting only the distinct ones).

The product of its digits is 466560, while the sum is 45.

The spelling of 13895423136 in words is "thirteen billion, eight hundred ninety-five million, four hundred twenty-three thousand, one hundred thirty-six".