13985745790950 has 384 divisors, whose sum is σ = 39076334668800. Its totient is φ = 3677991045120.

The previous prime is 13985745790949. The next prime is 13985745790957. The reversal of 13985745790950 is 5909754758931.

13985745790950 is a `hidden beast` number, since 1 + 3 + 9 + 85 + 7 + 457 + 9 + 0 + 95 + 0 = 666.

It is a super-2 number, since 2×13985745790950² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13985745790957) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 21417680824 + ... + 21417681476.

It is an arithmetic number, because the mean of its divisors is an integer number (101761288200).

Almost surely, 2^{13985745790950} is an apocalyptic number.

13985745790950 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 13985745790950, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19538167334400).

13985745790950 is an abundant number, since it is smaller than the sum of its proper divisors (25090588877850).

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

13985745790950 is a wasteful number, since it uses less digits than its factorization.

13985745790950 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1453 (or 1442 counting only the distinct ones).

The product of its (nonzero) digits is 428652000, while the sum is 72.

The spelling of 13985745790950 in words is "thirteen trillion, nine hundred eighty-five billion, seven hundred forty-five million, seven hundred ninety thousand, nine hundred fifty".