83152914470784 has 256 divisors, whose sum is σ = 246630908160000. Its totient is φ = 27580647370752.

The previous prime is 83152914470753. The next prime is 83152914470807. The reversal of 83152914470784 is 48707441925138.

83152914470784 is a `hidden beast` number, since 8 + 3 + 1 + 5 + 2 + 91 + 4 + 470 + 78 + 4 = 666.

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 31 ways as a sum of consecutive naturals, for example, 1261790667 + ... + 1261856565.

It is an arithmetic number, because the mean of its divisors is an integer number (963401985000).

Almost surely, 2^{83152914470784} 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 83152914470784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123315454080000).

83152914470784 is an abundant number, since it is smaller than the sum of its proper divisors (163477993689216).

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

83152914470784 is a wasteful number, since it uses less digits than its factorization.

83152914470784 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67722 (or 67704 counting only the distinct ones).

The product of its (nonzero) digits is 54190080, while the sum is 63.

The spelling of 83152914470784 in words is "eighty-three trillion, one hundred fifty-two billion, nine hundred fourteen million, four hundred seventy thousand, seven hundred eighty-four".