84251815248 has 20 divisors (see below), whose sum is σ = 217650522848. Its totient is φ = 28083938400.

The previous prime is 84251815247. The next prime is 84251815331.

84251815248 is nontrivially palindromic in base 10.

It is a Smith number, since the sum of its digits (48) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (48), and also a Moran number because the ratio is a prime number: 1755246151 = 84251815248 / (8 + 4 + 2 + 5 + 1 + 8 + 1 + 5 + 2 + 4 + 8).

It is a junction number, because it is equal to n+sod(n) for n = 84251815197 and 84251815206.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (84251815247) 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 3 ways as a sum of consecutive naturals, for example, 877623028 + ... + 877623123.

Almost surely, 2^84251815248 is an apocalyptic number.

It is an amenable number.

84251815248 is an abundant number, since it is smaller than the sum of its proper divisors (133398707600).

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

84251815248 is a wasteful number, since it uses less digits than its factorization.

84251815248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1755246162 (or 1755246156 counting only the distinct ones).

The product of its digits is 819200, while the sum is 48.

The spelling of 84251815248 in words is "eighty-four billion, two hundred fifty-one million, eight hundred fifteen thousand, two hundred forty-eight".