1363515968232 has 768 divisors, whose sum is σ = 4697312256000. Its totient is φ = 365652403200.

The previous prime is 1363515968207. The next prime is 1363515968233. The reversal of 1363515968232 is 2328695153631.

1363515968232 is a `hidden beast` number, since 1 + 3 + 6 + 3 + 515 + 96 + 8 + 2 + 32 = 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 (1363515968233) by changing a digit.

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 191 ways as a sum of consecutive naturals, for example, 365258238 + ... + 365261970.

It is an arithmetic number, because the mean of its divisors is an integer number (6116292000).

Almost surely, 2^{1363515968232} is an apocalyptic number.

1363515968232 is a gapful number since it is divisible by the number (12) 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 1363515968232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2348656128000).

1363515968232 is an abundant number, since it is smaller than the sum of its proper divisors (3333796287768).

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

1363515968232 is a wasteful number, since it uses less digits than its factorization.

1363515968232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3844 (or 3828 counting only the distinct ones).

The product of its digits is 6998400, while the sum is 54.

The spelling of 1363515968232 in words is "one trillion, three hundred sixty-three billion, five hundred fifteen million, nine hundred sixty-eight thousand, two hundred thirty-two".