83346228810 has 192 divisors, whose sum is σ = 242783049600. Its totient is φ = 19696449024.

The previous prime is 83346228803. The next prime is 83346228811. The reversal of 83346228810 is 1882264338.

83346228810 is a `hidden beast` number, since 8 + 3 + 3 + 4 + 622 + 8 + 8 + 10 = 666.

It is a super-2 number, since 2×83346228810² (a number of 23 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (83346228811) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6066609 + ... + 6080331.

It is an arithmetic number, because the mean of its divisors is an integer number (1264495050).

Almost surely, 2^83346228810 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 83346228810, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121391524800).

83346228810 is an abundant number, since it is smaller than the sum of its proper divisors (159436820790).

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

83346228810 is a wasteful number, since it uses less digits than its factorization.

83346228810 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13957 (or 13954 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 45.

The spelling of 83346228810 in words is "eighty-three billion, three hundred forty-six million, two hundred twenty-eight thousand, eight hundred ten".