18874961280 has 1024 divisors, whose sum is σ = 82699315200. Its totient is φ = 3970695168.

The previous prime is 18874961239. The next prime is 18874961309. The reversal of 18874961280 is 8216947881.

18874961280 is a `hidden beast` number, since 18 + 8 + 7 + 4 + 9 + 612 + 8 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 137773372 + ... + 137773508.

It is an arithmetic number, because the mean of its divisors is an integer number (80761050).

Almost surely, 2^18874961280 is an apocalyptic number.

18874961280 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 18874961280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41349657600).

18874961280 is an abundant number, since it is smaller than the sum of its proper divisors (63824353920).

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

18874961280 is a wasteful number, since it uses less digits than its factorization.

18874961280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 256 (or 238 counting only the distinct ones).

The product of its (nonzero) digits is 1548288, while the sum is 54.

The spelling of 18874961280 in words is "eighteen billion, eight hundred seventy-four million, nine hundred sixty-one thousand, two hundred eighty".