84313212984 has 960 divisors, whose sum is σ = 333704448000. Its totient is φ = 19530201600.

The previous prime is 84313212979. The next prime is 84313213007. The reversal of 84313212984 is 48921231348.

84313212984 is a `hidden beast` number, since 8 + 4 + 31 + 321 + 298 + 4 = 666.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 140756317 + ... + 140756915.

It is an arithmetic number, because the mean of its divisors is an integer number (347608800).

Almost surely, 2^84313212984 is an apocalyptic number.

84313212984 is a gapful number since it is divisible by the number (84) 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 84313212984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166852224000).

84313212984 is an abundant number, since it is smaller than the sum of its proper divisors (249391235016).

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

84313212984 is a wasteful number, since it uses less digits than its factorization.

84313212984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 686 (or 666 counting only the distinct ones).

The product of its digits is 331776, while the sum is 45.

The spelling of 84313212984 in words is "eighty-four billion, three hundred thirteen million, two hundred twelve thousand, nine hundred eighty-four".