83409915484350 has 576 divisors, whose sum is σ = 288198930962880. Its totient is φ = 17582276275200.

The previous prime is 83409915484339. The next prime is 83409915484361. The reversal of 83409915484350 is 5348451990438.

83409915484350 is a `hidden beast` number, since 8 + 3 + 4 + 0 + 99 + 15 + 484 + 3 + 50 = 666.

83409915484350 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (83409915484339) and next prime (83409915484361).

It is a super-2 number, since 2×83409915484350² (a number of 29 digits) contains 22 as substring.

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 pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 939880980 + ... + 939969720.

It is an arithmetic number, because the mean of its divisors is an integer number (500345366255).

Almost surely, 2^{83409915484350} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 83409915484350, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144099465481440).

83409915484350 is an abundant number, since it is smaller than the sum of its proper divisors (204789015478530).

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

83409915484350 is a wasteful number, since it uses less digits than its factorization.

83409915484350 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 89882 (or 89864 counting only the distinct ones).

The product of its (nonzero) digits is 74649600, while the sum is 63.

The spelling of 83409915484350 in words is "eighty-three trillion, four hundred nine billion, nine hundred fifteen million, four hundred eighty-four thousand, three hundred fifty".