831616264350 has 144 divisors (see below), whose sum is σ = 2291008709808. Its totient is φ = 216201553920.

The previous prime is 831616264343. The next prime is 831616264393. The reversal of 831616264350 is 53462616138.

831616264350 is a `hidden beast` number, since 8 + 3 + 1 + 616 + 26 + 4 + 3 + 5 + 0 = 666.

It is a super-2 number, since 2×831616264350² (a number of 25 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 831616264296 and 831616264305.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2782372 + ... + 3066728.

It is an arithmetic number, because the mean of its divisors is an integer number (15909782707).

Almost surely, 2^831616264350 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 831616264350, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1145504354904).

831616264350 is an abundant number, since it is smaller than the sum of its proper divisors (1459392445458).

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

831616264350 is a wasteful number, since it uses less digits than its factorization.

831616264350 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 284539 (or 284531 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 45.

The spelling of 831616264350 in words is "eight hundred thirty-one billion, six hundred sixteen million, two hundred sixty-four thousand, three hundred fifty".