84849047797248 has 900 divisors, whose sum is σ = 298739367693360. Its totient is φ = 23902792962048.

The previous prime is 84849047797211. The next prime is 84849047797253. The reversal of 84849047797248 is 84279774094848.

84849047797248 is a `hidden beast` number, since 8 + 48 + 490 + 47 + 7 + 9 + 7 + 2 + 48 = 666.

It is a Harshad number since it is a multiple of its sum of digits (81).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 89 ways as a sum of consecutive naturals, for example, 116711207061 + ... + 116711207787.

Almost surely, 2^{84849047797248} 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 84849047797248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149369683846680).

84849047797248 is an abundant number, since it is smaller than the sum of its proper divisors (213890319896112).

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

84849047797248 is an frugal number, since it uses more digits than its factorization.

84849047797248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1577 (or 818 counting only the distinct ones).

The product of its (nonzero) digits is 7283146752, while the sum is 81.

The spelling of 84849047797248 in words is "eighty-four trillion, eight hundred forty-nine billion, forty-seven million, seven hundred ninety-seven thousand, two hundred forty-eight".