99870346814112 has 384 divisors, whose sum is σ = 357034032230400. Its totient is φ = 26522524873728.

The previous prime is 99870346814083. The next prime is 99870346814113. The reversal of 99870346814112 is 21141864307899.

99870346814112 is a `hidden beast` number, since 9 + 98 + 70 + 3 + 4 + 68 + 1 + 411 + 2 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 99870346814112.

It is not an unprimeable number, because it can be changed into a prime (99870346814113) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2108748 + ... + 14289419.

It is an arithmetic number, because the mean of its divisors is an integer number (929776125600).

Almost surely, 2^{99870346814112} 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 99870346814112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178517016115200).

99870346814112 is an abundant number, since it is smaller than the sum of its proper divisors (257163685416288).

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

99870346814112 is a wasteful number, since it uses less digits than its factorization.

99870346814112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16398265 (or 16398251 counting only the distinct ones).

The product of its (nonzero) digits is 20901888, while the sum is 63.

The spelling of 99870346814112 in words is "ninety-nine trillion, eight hundred seventy billion, three hundred forty-six million, eight hundred fourteen thousand, one hundred twelve".