13806895398912 has 1152 divisors, whose sum is σ = 52506954470880. Its totient is φ = 3585091829760.

The previous prime is 13806895398899. The next prime is 13806895398931. The reversal of 13806895398912 is 21989359860831.

13806895398912 is a `hidden beast` number, since 1 + 3 + 8 + 0 + 6 + 8 + 9 + 539 + 89 + 1 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a super-2 number, since 2×13806895398912² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 4291852728 + ... + 4291855944.

Almost surely, 2^{13806895398912} is an apocalyptic number.

13806895398912 is a gapful number since it is divisible by the number (12) 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 13806895398912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26253477235440).

13806895398912 is an abundant number, since it is smaller than the sum of its proper divisors (38700059071968).

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

13806895398912 is an frugal number, since it uses more digits than its factorization.

13806895398912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3287 (or 3240 counting only the distinct ones).

The product of its (nonzero) digits is 201553920, while the sum is 72.

The spelling of 13806895398912 in words is "thirteen trillion, eight hundred six billion, eight hundred ninety-five million, three hundred ninety-eight thousand, nine hundred twelve".