83845773000 has 640 divisors, whose sum is σ = 322507785600. Its totient is φ = 20150208000.

The previous prime is 83845772953. The next prime is 83845773029. The reversal of 83845773000 is 37754838.

It is a super-2 number, since 2×83845773000² (a number of 23 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

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 159 ways as a sum of consecutive naturals, for example, 123848662 + ... + 123849338.

It is an arithmetic number, because the mean of its divisors is an integer number (503918415).

Almost surely, 2^83845773000 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 83845773000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161253892800).

83845773000 is an abundant number, since it is smaller than the sum of its proper divisors (238662012600).

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

83845773000 is a wasteful number, since it uses less digits than its factorization.

83845773000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 860 (or 837 counting only the distinct ones).

The product of its (nonzero) digits is 564480, while the sum is 45.

The spelling of 83845773000 in words is "eighty-three billion, eight hundred forty-five million, seven hundred seventy-three thousand".