84949509312 has 378 divisors, whose sum is σ = 260691110316. Its totient is φ = 26443307520.

The previous prime is 84949509283. The next prime is 84949509319. The reversal of 84949509312 is 21390594948.

84949509312 is a `hidden beast` number, since 8 + 494 + 9 + 50 + 93 + 12 = 666.

It is not an unprimeable number, because it can be changed into a prime (84949509319) by changing a digit.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 1023488023 + ... + 1023488105.

It is an arithmetic number, because the mean of its divisors is an integer number (689659022).

Almost surely, 2^84949509312 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 84949509312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130345555158).

84949509312 is an abundant number, since it is smaller than the sum of its proper divisors (175741601004).

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

84949509312 is a wasteful number, since it uses less digits than its factorization.

84949509312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 249 (or 162 counting only the distinct ones).

The product of its (nonzero) digits is 2799360, while the sum is 54.

The spelling of 84949509312 in words is "eighty-four billion, nine hundred forty-nine million, five hundred nine thousand, three hundred twelve".