18625442929632 has 480 divisors, whose sum is σ = 68338403046144. Its totient is φ = 4834581811200.

The previous prime is 18625442929631. The next prime is 18625442929637. The reversal of 18625442929632 is 23692924452681.

18625442929632 is a `hidden beast` number, since 1 + 8 + 6 + 2 + 544 + 2 + 9 + 29 + 63 + 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 18625442929632.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18625442929631) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 309923907 + ... + 309983997.

Almost surely, 2^{18625442929632} is an apocalyptic number.

18625442929632 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 18625442929632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34169201523072).

18625442929632 is an abundant number, since it is smaller than the sum of its proper divisors (49712960116512).

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

18625442929632 is a wasteful number, since it uses less digits than its factorization.

18625442929632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61684 (or 61667 counting only the distinct ones).

The product of its digits is 89579520, while the sum is 63.

The spelling of 18625442929632 in words is "eighteen trillion, six hundred twenty-five billion, four hundred forty-two million, nine hundred twenty-nine thousand, six hundred thirty-two".