84739152678912 has 1040 divisors, whose sum is σ = 274919792539392. Its totient is φ = 25906627215360.

The previous prime is 84739152678893. The next prime is 84739152678949. The reversal of 84739152678912 is 21987625193748.

84739152678912 is a `hidden beast` number, since 8 + 4 + 7 + 3 + 9 + 1 + 526 + 7 + 8 + 91 + 2 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 77671083487 + ... + 77671084577.

Almost surely, 2^{84739152678912} 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 84739152678912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137459896269696).

84739152678912 is an abundant number, since it is smaller than the sum of its proper divisors (190180639860480).

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

84739152678912 is a wasteful number, since it uses less digits than its factorization.

84739152678912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1484 (or 1453 counting only the distinct ones).

The product of its digits is 365783040, while the sum is 72.

The spelling of 84739152678912 in words is "eighty-four trillion, seven hundred thirty-nine billion, one hundred fifty-two million, six hundred seventy-eight thousand, nine hundred twelve".