18229125079872 has 560 divisors, whose sum is σ = 62969563907712. Its totient is φ = 5106157056000.

The previous prime is 18229125079871. The next prime is 18229125079897. The reversal of 18229125079872 is 27897052192281.

18229125079872 is a `hidden beast` number, since 1 + 8 + 2 + 29 + 12 + 507 + 98 + 7 + 2 = 666.

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18229125079871) 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, 3313781122 + ... + 3313786622.

Almost surely, 2^{18229125079872} is an apocalyptic number.

18229125079872 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 18229125079872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31484781953856).

18229125079872 is an abundant number, since it is smaller than the sum of its proper divisors (44740438827840).

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

18229125079872 is a wasteful number, since it uses less digits than its factorization.

18229125079872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7308 (or 7289 counting only the distinct ones).

The product of its (nonzero) digits is 20321280, while the sum is 63.

The spelling of 18229125079872 in words is "eighteen trillion, two hundred twenty-nine billion, one hundred twenty-five million, seventy-nine thousand, eight hundred seventy-two".