13781363485950 has 960 divisors, whose sum is σ = 44122678110720. Its totient is φ = 3170119680000.

The previous prime is 13781363485943. The next prime is 13781363485987. The reversal of 13781363485950 is 5958436318731.

13781363485950 is a `hidden beast` number, since 1 + 3 + 7 + 8 + 1 + 3 + 6 + 34 + 8 + 595 + 0 = 666.

It is a congruent number.

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 479 ways as a sum of consecutive naturals, for example, 3280493850 + ... + 3280498050.

It is an arithmetic number, because the mean of its divisors is an integer number (45961123032).

Almost surely, 2^{13781363485950} is an apocalyptic number.

13781363485950 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 13781363485950, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22061339055360).

13781363485950 is an abundant number, since it is smaller than the sum of its proper divisors (30341314624770).

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

13781363485950 is a wasteful number, since it uses less digits than its factorization.

13781363485950 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4355 (or 4341 counting only the distinct ones).

The product of its (nonzero) digits is 65318400, while the sum is 63.

The spelling of 13781363485950 in words is "thirteen trillion, seven hundred eighty-one billion, three hundred sixty-three million, four hundred eighty-five thousand, nine hundred fifty".