11814100850640 has 320 divisors, whose sum is σ = 41261914497024. Its totient is φ = 2770295040000.

The previous prime is 11814100850639. The next prime is 11814100850701. The reversal of 11814100850640 is 4605800141811.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 174367170 + ... + 174434910.

Almost surely, 2^{11814100850640} is an apocalyptic number.

11814100850640 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 11814100850640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20630957248512).

11814100850640 is an abundant number, since it is smaller than the sum of its proper divisors (29447813646384).

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

11814100850640 is a wasteful number, since it uses less digits than its factorization.

11814100850640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69930 (or 69924 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 39.

The spelling of 11814100850640 in words is "eleven trillion, eight hundred fourteen billion, one hundred million, eight hundred fifty thousand, six hundred forty".