83046294020160 has 672 divisors, whose sum is σ = 301004901550080. Its totient is φ = 20986011648000.

The previous prime is 83046294020143. The next prime is 83046294020191. The reversal of 83046294020160 is 6102049264038.

83046294020160 is a `hidden beast` number, since 8 + 3 + 0 + 4 + 629 + 4 + 0 + 2 + 0 + 16 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1322340760 + ... + 1322403560.

It is an arithmetic number, because the mean of its divisors is an integer number (447923960640).

Almost surely, 2^{83046294020160} is an apocalyptic number.

83046294020160 is a gapful number since it is divisible by the number (80) 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 83046294020160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150502450775040).

83046294020160 is an abundant number, since it is smaller than the sum of its proper divisors (217958607529920).

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

83046294020160 is a wasteful number, since it uses less digits than its factorization.

83046294020160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63147 (or 63134 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 45.

The spelling of 83046294020160 in words is "eighty-three trillion, forty-six billion, two hundred ninety-four million, twenty thousand, one hundred sixty".