83354873040 has 160 divisors (see below), whose sum is σ = 287215843200. Its totient is φ = 22219868160.

The previous prime is 83354873033. The next prime is 83354873089. The reversal of 83354873040 is 4037845338.

83354873040 is a `hidden beast` number, since 8 + 33 + 548 + 7 + 30 + 40 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8071080 + ... + 8081400.

It is an arithmetic number, because the mean of its divisors is an integer number (1795099020).

Almost surely, 2^83354873040 is an apocalyptic number.

83354873040 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 83354873040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143607921600).

83354873040 is an abundant number, since it is smaller than the sum of its proper divisors (203860970160).

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

83354873040 is a wasteful number, since it uses less digits than its factorization.

83354873040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14082 (or 14070 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 45.

The spelling of 83354873040 in words is "eighty-three billion, three hundred fifty-four million, eight hundred seventy-three thousand, forty".