84331714896 has 640 divisors, whose sum is σ = 296980992000. Its totient is φ = 22568232960.

The previous prime is 84331714891. The next prime is 84331714897. The reversal of 84331714896 is 69841713348.

84331714896 is a `hidden beast` number, since 84 + 331 + 7 + 148 + 96 = 666.

It is a super-2 number, since 2×84331714896² (a number of 23 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (84331714891) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 140787205 + ... + 140787803.

It is an arithmetic number, because the mean of its divisors is an integer number (464032800).

Almost surely, 2^84331714896 is an apocalyptic number.

84331714896 is a gapful number since it is divisible by the number (86) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 84331714896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148490496000).

84331714896 is an abundant number, since it is smaller than the sum of its proper divisors (212649277104).

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

84331714896 is a wasteful number, since it uses less digits than its factorization.

84331714896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 736 (or 724 counting only the distinct ones).

The product of its digits is 3483648, while the sum is 54.

The spelling of 84331714896 in words is "eighty-four billion, three hundred thirty-one million, seven hundred fourteen thousand, eight hundred ninety-six".