18850246172400 has 360 divisors, whose sum is σ = 63910028715120. Its totient is φ = 4748638371840.

The previous prime is 18850246172389. The next prime is 18850246172437. The reversal of 18850246172400 is 427164205881.

It is a happy number.

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 18850246172400.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 152857966 + ... + 152981234.

It is an arithmetic number, because the mean of its divisors is an integer number (177527857542).

Almost surely, 2^{18850246172400} is an apocalyptic number.

18850246172400 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 18850246172400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31955014357560).

18850246172400 is an abundant number, since it is smaller than the sum of its proper divisors (45059782542720).

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

18850246172400 is a wasteful number, since it uses less digits than its factorization.

18850246172400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123681 (or 123651 counting only the distinct ones).

The product of its (nonzero) digits is 860160, while the sum is 48.

The spelling of 18850246172400 in words is "eighteen trillion, eight hundred fifty billion, two hundred forty-six million, one hundred seventy-two thousand, four hundred".