18825445201536 has 512 divisors, whose sum is σ = 60422384640000. Its totient is φ = 5748317798400.

The previous prime is 18825445201531. The next prime is 18825445201547. The reversal of 18825445201536 is 63510254452881.

18825445201536 is a `hidden beast` number, since 1 + 8 + 8 + 2 + 54 + 4 + 52 + 0 + 1 + 536 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (18825445201531) 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, 3030981471 + ... + 3030987681.

It is an arithmetic number, because the mean of its divisors is an integer number (118012470000).

Almost surely, 2^{18825445201536} is an apocalyptic number.

18825445201536 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 18825445201536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30211192320000).

18825445201536 is an abundant number, since it is smaller than the sum of its proper divisors (41596939438464).

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

18825445201536 is a wasteful number, since it uses less digits than its factorization.

18825445201536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7773 (or 7755 counting only the distinct ones).

The product of its (nonzero) digits is 9216000, while the sum is 54.

The spelling of 18825445201536 in words is "eighteen trillion, eight hundred twenty-five billion, four hundred forty-five million, two hundred one thousand, five hundred thirty-six".