83346198240 has 192 divisors, whose sum is σ = 277314250752. Its totient is φ = 21008332800.

The previous prime is 83346198233. The next prime is 83346198277. The reversal of 83346198240 is 4289164338.

It is a super-2 number, since 2×83346198240² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 83346198240.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 574710 + ... + 704970.

It is an arithmetic number, because the mean of its divisors is an integer number (1444345056).

Almost surely, 2^83346198240 is an apocalyptic number.

83346198240 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 83346198240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138657125376).

83346198240 is an abundant number, since it is smaller than the sum of its proper divisors (193968052512).

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

83346198240 is a wasteful number, since it uses less digits than its factorization.

83346198240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 130353 (or 130345 counting only the distinct ones).

The product of its (nonzero) digits is 995328, while the sum is 48.

The spelling of 83346198240 in words is "eighty-three billion, three hundred forty-six million, one hundred ninety-eight thousand, two hundred forty".