13214618049888 has 192 divisors, whose sum is σ = 40605901459200. Its totient is φ = 4169467560960.

The previous prime is 13214618049887. The next prime is 13214618049901. The reversal of 13214618049888 is 88894081641231.

13214618049888 is a `hidden beast` number, since 1 + 3 + 2 + 1 + 4 + 61 + 8 + 0 + 498 + 88 = 666.

It is a super-2 number, since 2×13214618049888² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13214618049887) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 18879420 + ... + 19566852.

It is an arithmetic number, because the mean of its divisors is an integer number (211489070100).

Almost surely, 2^{13214618049888} is an apocalyptic number.

13214618049888 is a gapful number since it is divisible by the number (18) 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 13214618049888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20302950729600).

13214618049888 is an abundant number, since it is smaller than the sum of its proper divisors (27391283409312).

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

13214618049888 is a wasteful number, since it uses less digits than its factorization.

13214618049888 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 688642 (or 688628 counting only the distinct ones).

The product of its (nonzero) digits is 21233664, while the sum is 63.

The spelling of 13214618049888 in words is "thirteen trillion, two hundred fourteen billion, six hundred eighteen million, forty-nine thousand, eight hundred eighty-eight".