13490763861000 has 512 divisors, whose sum is σ = 44556032102400. Its totient is φ = 3392962560000.

The previous prime is 13490763860993. The next prime is 13490763861007. The reversal of 13490763861000 is 16836709431.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (13490763860993) and next prime (13490763861007).

It is not an unprimeable number, because it can be changed into a prime (13490763861007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 7141748056 + ... + 7141749944.

It is an arithmetic number, because the mean of its divisors is an integer number (87023500200).

Almost surely, 2^{13490763861000} is an apocalyptic number.

13490763861000 is a gapful number since it is divisible by the number (10) 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 13490763861000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22278016051200).

13490763861000 is an abundant number, since it is smaller than the sum of its proper divisors (31065268241400).

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

13490763861000 is a wasteful number, since it uses less digits than its factorization.

13490763861000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3858 (or 3844 counting only the distinct ones).

The product of its (nonzero) digits is 653184, while the sum is 48.

The spelling of 13490763861000 in words is "thirteen trillion, four hundred ninety billion, seven hundred sixty-three million, eight hundred sixty-one thousand".