2103577602048 has 864 divisors, whose sum is σ = 7146922681080. Its totient is φ = 591994552320.

The previous prime is 2103577602037. The next prime is 2103577602053. The reversal of 2103577602048 is 8402067753012.

2103577602048 is a `hidden beast` number, since 2 + 1 + 0 + 35 + 7 + 7 + 602 + 0 + 4 + 8 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 675762914304 + 1427814687744 = 822048^2 + 1194912^2 .

It is a junction number, because it is equal to n+sod(n) for n = 2103577601994 and 2103577602012.

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, 2562213478 + ... + 2562214298.

Almost surely, 2^{2103577602048} 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 2103577602048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3573461340540).

2103577602048 is an abundant number, since it is smaller than the sum of its proper divisors (5043345079032).

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

2103577602048 is a wasteful number, since it uses less digits than its factorization.

2103577602048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 933 (or 893 counting only the distinct ones).

The product of its (nonzero) digits is 564480, while the sum is 45.

The spelling of 2103577602048 in words is "two trillion, one hundred three billion, five hundred seventy-seven million, six hundred two thousand, forty-eight".