1013860463616 has 1584 divisors, whose sum is σ = 4040082871552. Its totient is φ = 238241710080.

The previous prime is 1013860463599. The next prime is 1013860463641. The reversal of 1013860463616 is 6163640683101.

1013860463616 is a `hidden beast` number, since 1 + 0 + 1 + 3 + 8 + 6 + 0 + 4 + 636 + 1 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (1584).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 9843305421 + ... + 9843305523.

Almost surely, 2^{1013860463616} is an apocalyptic number.

1013860463616 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 1013860463616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2020041435776).

1013860463616 is an abundant number, since it is smaller than the sum of its proper divisors (3026222407936).

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

1013860463616 is a wasteful number, since it uses less digits than its factorization.

1013860463616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 268 (or 236 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 45.

The spelling of 1013860463616 in words is "one trillion, thirteen billion, eight hundred sixty million, four hundred sixty-three thousand, six hundred sixteen".