84257922816 has 144 divisors (see below), whose sum is σ = 249814000800. Its totient is φ = 28012879872.

The previous prime is 84257922757. The next prime is 84257922829. The reversal of 84257922816 is 61822975248.

84257922816 is a `hidden beast` number, since 8 + 42 + 579 + 2 + 28 + 1 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2673100 + ... + 2704436.

It is an arithmetic number, because the mean of its divisors is an integer number (1734819450).

Almost surely, 2^84257922816 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 84257922816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124907000400).

84257922816 is an abundant number, since it is smaller than the sum of its proper divisors (165556077984).

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

84257922816 is a wasteful number, since it uses less digits than its factorization.

84257922816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31751 (or 31731 counting only the distinct ones).

The product of its digits is 3870720, while the sum is 54.

The spelling of 84257922816 in words is "eighty-four billion, two hundred fifty-seven million, nine hundred twenty-two thousand, eight hundred sixteen".