84401047296 has 432 divisors, whose sum is σ = 283074704640. Its totient is φ = 23989616640.

The previous prime is 84401047267. The next prime is 84401047301. The reversal of 84401047296 is 69274010448.

84401047296 is a `hidden beast` number, since 84 + 4 + 0 + 10 + 472 + 96 = 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 congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 17113951 + ... + 17118881.

It is an arithmetic number, because the mean of its divisors is an integer number (655265520).

Almost surely, 2^84401047296 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 84401047296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141537352320).

84401047296 is an abundant number, since it is smaller than the sum of its proper divisors (198673657344).

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

84401047296 is a wasteful number, since it uses less digits than its factorization.

84401047296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5012 (or 4995 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The spelling of 84401047296 in words is "eighty-four billion, four hundred one million, forty-seven thousand, two hundred ninety-six".