13985242693632 has 960 divisors, whose sum is σ = 50053296384000. Its totient is φ = 3769952108544.

The previous prime is 13985242693619. The next prime is 13985242693637. The reversal of 13985242693632 is 23639624258931.

It is a happy number.

13985242693632 is a `hidden beast` number, since 1 + 3 + 9 + 8 + 5 + 2 + 4 + 269 + 363 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a self number, because there is not a number n which added to its sum of digits gives 13985242693632.

It is not an unprimeable number, because it can be changed into a prime (13985242693637) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 27475918594 + ... + 27475919102.

It is an arithmetic number, because the mean of its divisors is an integer number (52138850400).

Almost surely, 2^{13985242693632} is an apocalyptic number.

13985242693632 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 13985242693632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25026648192000).

13985242693632 is an abundant number, since it is smaller than the sum of its proper divisors (36068053690368).

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

13985242693632 is an equidigital number, since it uses as much as digits as its factorization.

13985242693632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1039 (or 1007 counting only the distinct ones).

The product of its digits is 100776960, while the sum is 63.

The spelling of 13985242693632 in words is "thirteen trillion, nine hundred eighty-five billion, two hundred forty-two million, six hundred ninety-three thousand, six hundred thirty-two".