830387500416 has 224 divisors, whose sum is σ = 2484233619120. Its totient is φ = 276356551680.

The previous prime is 830387500361. The next prime is 830387500427. The reversal of 830387500416 is 614005783038.

It is a super-3 number, since 3×830387500416³ (a number of 37 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 61672501 + ... + 61685963.

Almost surely, 2^830387500416 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 830387500416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1242116809560).

830387500416 is an abundant number, since it is smaller than the sum of its proper divisors (1653846118704).

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

830387500416 is an equidigital number, since it uses as much as digits as its factorization.

830387500416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14156 (or 14129 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The spelling of 830387500416 in words is "eight hundred thirty billion, three hundred eighty-seven million, five hundred thousand, four hundred sixteen".