84974986535296 has 384 divisors, whose sum is σ = 210096972439200. Its totient is φ = 33745622630400.

The previous prime is 84974986535293. The next prime is 84974986535419. The reversal of 84974986535296 is 69253568947948.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (84974986535293) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7803740220 + ... + 7803751108.

Almost surely, 2^{84974986535296} 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 84974986535296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105048486219600).

84974986535296 is an abundant number, since it is smaller than the sum of its proper divisors (125121985903904).

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

84974986535296 is a wasteful number, since it uses less digits than its factorization.

84974986535296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12146 (or 12115 counting only the distinct ones).

The product of its digits is 28217548800, while the sum is 85.

The spelling of 84974986535296 in words is "eighty-four trillion, nine hundred seventy-four billion, nine hundred eighty-six million, five hundred thirty-five thousand, two hundred ninety-six".