18741125250 has 128 divisors (see below), whose sum is σ = 52197350400. Its totient is φ = 4976294400.

The previous prime is 18741125233. The next prime is 18741125267. The reversal of 18741125250 is 5252114781.

It is a happy number.

18741125250 is a `hidden beast` number, since 1 + 87 + 41 + 12 + 525 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (18741125233) and next prime (18741125267).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1607442 + ... + 1619058.

It is an arithmetic number, because the mean of its divisors is an integer number (407791800).

Almost surely, 2^18741125250 is an apocalyptic number.

18741125250 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 18741125250, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26098675200).

18741125250 is an abundant number, since it is smaller than the sum of its proper divisors (33456225150).

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

18741125250 is a wasteful number, since it uses less digits than its factorization.

18741125250 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11882 (or 11866 counting only the distinct ones).

The product of its (nonzero) digits is 22400, while the sum is 36.

The spelling of 18741125250 in words is "eighteen billion, seven hundred forty-one million, one hundred twenty-five thousand, two hundred fifty".