1013787564336 has 400 divisors, whose sum is σ = 3238375016448. Its totient is φ = 304781875200.

The previous prime is 1013787564331. The next prime is 1013787564379. The reversal of 1013787564336 is 6334657873101.

1013787564336 is a `hidden beast` number, since 1 + 0 + 1 + 3 + 78 + 7 + 564 + 3 + 3 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (1013787564331) by changing a digit.

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 79 ways as a sum of consecutive naturals, for example, 70340971 + ... + 70355381.

Almost surely, 2^{1013787564336} is an apocalyptic number.

1013787564336 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 1013787564336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1619187508224).

1013787564336 is an abundant number, since it is smaller than the sum of its proper divisors (2224587452112).

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

1013787564336 is a wasteful number, since it uses less digits than its factorization.

1013787564336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14582 (or 14567 counting only the distinct ones).

The product of its (nonzero) digits is 7620480, while the sum is 54.

The spelling of 1013787564336 in words is "one trillion, thirteen billion, seven hundred eighty-seven million, five hundred sixty-four thousand, three hundred thirty-six".