830730349944 has 384 divisors, whose sum is σ = 2658048307200. Its totient is φ = 231888384000.

The previous prime is 830730349927. The next prime is 830730350027. The reversal of 830730349944 is 449943037038.

830730349944 is a `hidden beast` number, since 83 + 0 + 7 + 30 + 3 + 499 + 44 = 666.

830730349944 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×830730349944² (a number of 25 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 50544352 + ... + 50560784.

It is an arithmetic number, because the mean of its divisors is an integer number (6922000800).

Almost surely, 2^830730349944 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 830730349944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1329024153600).

830730349944 is an abundant number, since it is smaller than the sum of its proper divisors (1827317957256).

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

830730349944 is a wasteful number, since it uses less digits than its factorization.

830730349944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16587 (or 16580 counting only the distinct ones).

The product of its (nonzero) digits is 7838208, while the sum is 54.

The spelling of 830730349944 in words is "eight hundred thirty billion, seven hundred thirty million, three hundred forty-nine thousand, nine hundred forty-four".