84963113352 has 512 divisors, whose sum is σ = 282304512000. Its totient is φ = 23436241920.

The previous prime is 84963113329. The next prime is 84963113497. The reversal of 84963113352 is 25331136948.

84963113352 is a `hidden beast` number, since 8 + 4 + 9 + 631 + 1 + 3 + 3 + 5 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 84963113298 and 84963113307.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 77733318 + ... + 77734410.

It is an arithmetic number, because the mean of its divisors is an integer number (551376000).

Almost surely, 2^84963113352 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 84963113352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141152256000).

84963113352 is an abundant number, since it is smaller than the sum of its proper divisors (197341398648).

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

84963113352 is a wasteful number, since it uses less digits than its factorization.

84963113352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1218 (or 1208 counting only the distinct ones).

The product of its digits is 466560, while the sum is 45.

The spelling of 84963113352 in words is "eighty-four billion, nine hundred sixty-three million, one hundred thirteen thousand, three hundred fifty-two".