103312985483664 has 960 divisors, whose sum is σ = 337393034035200. Its totient is φ = 29217181593600.

The previous prime is 103312985483639. The next prime is 103312985483677. The reversal of 103312985483664 is 466384589213301.

103312985483664 is a `hidden beast` number, since 1 + 0 + 3 + 3 + 1 + 2 + 98 + 5 + 483 + 6 + 64 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 104251246209 + ... + 104251247199.

It is an arithmetic number, because the mean of its divisors is an integer number (351451077120).

Almost surely, 2^{103312985483664} 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 103312985483664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168696517017600).

103312985483664 is an abundant number, since it is smaller than the sum of its proper divisors (234080048551536).

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

103312985483664 is a wasteful number, since it uses less digits than its factorization.

103312985483664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1644 (or 1635 counting only the distinct ones).

The product of its (nonzero) digits is 89579520, while the sum is 63.

The spelling of 103312985483664 in words is "one hundred three trillion, three hundred twelve billion, nine hundred eighty-five million, four hundred eighty-three thousand, six hundred sixty-four".