83084784162534 has 128 divisors (see below), whose sum is σ = 230227803048960. Its totient is φ = 21577070304000.

The previous prime is 83084784162463. The next prime is 83084784162571. The reversal of 83084784162534 is 43526148748038.

83084784162534 is a `hidden beast` number, since 8 + 3 + 0 + 8 + 4 + 7 + 84 + 16 + 2 + 534 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 24931234 + ... + 28066634.

It is an arithmetic number, because the mean of its divisors is an integer number (1798654711320).

Almost surely, 2^{83084784162534} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 83084784162534, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115113901524480).

83084784162534 is an abundant number, since it is smaller than the sum of its proper divisors (147143018886426).

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

83084784162534 is a wasteful number, since it uses less digits than its factorization.

83084784162534 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3141803 (or 3141797 counting only the distinct ones).

The product of its (nonzero) digits is 123863040, while the sum is 63.

The spelling of 83084784162534 in words is "eighty-three trillion, eighty-four billion, seven hundred eighty-four million, one hundred sixty-two thousand, five hundred thirty-four".