284098183068096 has 224 divisors, whose sum is σ = 842637063942720. Its totient is φ = 93855787941888.

The previous prime is 284098183067971. The next prime is 284098183068179. The reversal of 284098183068096 is 690860381890482.

284098183068096 is a `hidden beast` number, since 2 + 8 + 409 + 81 + 83 + 0 + 68 + 0 + 9 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

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, 4501389436 + ... + 4501452548.

Almost surely, 2^{284098183068096} 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 284098183068096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (421318531971360).

284098183068096 is an abundant number, since it is smaller than the sum of its proper divisors (558538880874624).

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

284098183068096 is a wasteful number, since it uses less digits than its factorization.

284098183068096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 86300 (or 86284 counting only the distinct ones).

The product of its (nonzero) digits is 286654464, while the sum is 72.

The spelling of 284098183068096 in words is "two hundred eighty-four trillion, ninety-eight billion, one hundred eighty-three million, sixty-eight thousand, ninety-six".