84071665152 has 200 divisors, whose sum is σ = 251417136696. Its totient is φ = 27969712128.

The previous prime is 84071665133. The next prime is 84071665187. The reversal of 84071665152 is 25156617048.

84071665152 is a `hidden beast` number, since 8 + 4 + 0 + 71 + 66 + 515 + 2 = 666.

It is a super-2 number, since 2×84071665152² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 84071665098 and 84071665107.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 25420683 + ... + 25423989.

Almost surely, 2^84071665152 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 84071665152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125708568348).

84071665152 is an abundant number, since it is smaller than the sum of its proper divisors (167345471544).

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

84071665152 is an equidigital number, since it uses as much as digits as its factorization.

84071665152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3950 (or 3925 counting only the distinct ones).

The product of its (nonzero) digits is 403200, while the sum is 45.

The spelling of 84071665152 in words is "eighty-four billion, seventy-one million, six hundred sixty-five thousand, one hundred fifty-two".