18982487462400 has 3840 divisors, whose sum is σ = 90854122106880. Its totient is φ = 3767913676800.

The previous prime is 18982487462377. The next prime is 18982487462459. The reversal of 18982487462400 is 426478428981.

18982487462400 is a `hidden beast` number, since 1 + 8 + 98 + 2 + 4 + 87 + 4 + 62 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (3840).

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

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 60646924644 + ... + 60646924956.

It is an arithmetic number, because the mean of its divisors is an integer number (23659927632).

Almost surely, 2^{18982487462400} is an apocalyptic number.

18982487462400 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 18982487462400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45427061053440).

18982487462400 is an abundant number, since it is smaller than the sum of its proper divisors (71871634644480).

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

18982487462400 is a wasteful number, since it uses less digits than its factorization.

18982487462400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 464 (or 437 counting only the distinct ones).

The product of its (nonzero) digits is 49545216, while the sum is 63.

The spelling of 18982487462400 in words is "eighteen trillion, nine hundred eighty-two billion, four hundred eighty-seven million, four hundred sixty-two thousand, four hundred".