18285629131200 has 672 divisors, whose sum is σ = 61797728120832. Its totient is φ = 4731697152000.

The previous prime is 18285629131181. The next prime is 18285629131219. The reversal of 18285629131200 is 213192658281.

It is an interprime number because it is at equal distance from previous prime (18285629131181) and next prime (18285629131219).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 18285629131200.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 12430746465 + ... + 12430747935.

Almost surely, 2^{18285629131200} is an apocalyptic number.

18285629131200 is a gapful number since it is divisible by the number (10) 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 18285629131200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30898864060416).

18285629131200 is an abundant number, since it is smaller than the sum of its proper divisors (43512098989632).

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

18285629131200 is a wasteful number, since it uses less digits than its factorization.

18285629131200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2053 (or 2038 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 48.

The spelling of 18285629131200 in words is "eighteen trillion, two hundred eighty-five billion, six hundred twenty-nine million, one hundred thirty-one thousand, two hundred".