1930016558016 has 336 divisors, whose sum is σ = 5997972052800. Its totient is φ = 591526526976.

The previous prime is 1930016557991. The next prime is 1930016558027. The reversal of 1930016558016 is 6108556100391.

1930016558016 is a `hidden beast` number, since 1 + 9 + 3 + 0 + 0 + 1 + 65 + 580 + 1 + 6 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 87969000 + ... + 87990936.

It is an arithmetic number, because the mean of its divisors is an integer number (17851107300).

Almost surely, 2^{1930016558016} is an apocalyptic number.

1930016558016 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1930016558016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2998986026400).

1930016558016 is an abundant number, since it is smaller than the sum of its proper divisors (4067955494784).

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

1930016558016 is a wasteful number, since it uses less digits than its factorization.

1930016558016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22236 (or 22223 counting only the distinct ones).

The product of its (nonzero) digits is 194400, while the sum is 45.

The spelling of 1930016558016 in words is "one trillion, nine hundred thirty billion, sixteen million, five hundred fifty-eight thousand, sixteen".