84349172736 has 528 divisors, whose sum is σ = 271815398400. Its totient is φ = 25082265600.

The previous prime is 84349172729. The next prime is 84349172779. The reversal of 84349172736 is 63727194348.

84349172736 is a `hidden beast` number, since 8 + 434 + 9 + 172 + 7 + 36 = 666.

It is a super-2 number, since 2×84349172736² (a number of 23 digits) contains 22 as substring.

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, 222556995 + ... + 222557373.

Almost surely, 2^84349172736 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 84349172736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135907699200).

84349172736 is an abundant number, since it is smaller than the sum of its proper divisors (187466225664).

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

84349172736 is a wasteful number, since it uses less digits than its factorization.

84349172736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 496 (or 475 counting only the distinct ones).

The product of its digits is 6096384, while the sum is 54.

The spelling of 84349172736 in words is "eighty-four billion, three hundred forty-nine million, one hundred seventy-two thousand, seven hundred thirty-six".