2013763833648 has 360 divisors, whose sum is σ = 6806062482336. Its totient is φ = 544407091200.

The previous prime is 2013763833619. The next prime is 2013763833671. The reversal of 2013763833648 is 8463383673102.

2013763833648 is a `hidden beast` number, since 201 + 3 + 7 + 63 + 8 + 336 + 48 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 2013763833594 and 2013763833603.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 342415668 + ... + 342421548.

Almost surely, 2^{2013763833648} is an apocalyptic number.

2013763833648 is a gapful number since it is divisible by the number (28) 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 2013763833648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3403031241168).

2013763833648 is an abundant number, since it is smaller than the sum of its proper divisors (4792298648688).

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

2013763833648 is a wasteful number, since it uses less digits than its factorization.

2013763833648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6881 (or 6853 counting only the distinct ones).

The product of its (nonzero) digits is 10450944, while the sum is 54.

The spelling of 2013763833648 in words is "two trillion, thirteen billion, seven hundred sixty-three million, eight hundred thirty-three thousand, six hundred forty-eight".