8151900218112 has 288 divisors, whose sum is σ = 25032436176384. Its totient is φ = 2306949120000.

The previous prime is 8151900218093. The next prime is 8151900218191. The reversal of 8151900218112 is 2118120091518.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 244220368 + ... + 244253744.

It is an arithmetic number, because the mean of its divisors is an integer number (86918181168).

Almost surely, 2^{8151900218112} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8151900218112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12516218088192).

8151900218112 is an abundant number, since it is smaller than the sum of its proper divisors (16880535958272).

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

8151900218112 is a wasteful number, since it uses less digits than its factorization.

8151900218112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33835 (or 33821 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 39.

The spelling of 8151900218112 in words is "eight trillion, one hundred fifty-one billion, nine hundred million, two hundred eighteen thousand, one hundred twelve".