11914253505 has 192 divisors, whose sum is σ = 26269641216. Its totient is φ = 4892659200.

The previous prime is 11914253503. The next prime is 11914253537. The reversal of 11914253505 is 50535241911.

It is a happy number.

11914253505 is a `hidden beast` number, since 1 + 1 + 9 + 142 + 5 + 3 + 505 = 666.

It is not a de Polignac number, because 11914253505 - 2¹ = 11914253503 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 11914253505.

It is not an unprimeable number, because it can be changed into a prime (11914253503) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 65824515 + ... + 65824695.

It is an arithmetic number, because the mean of its divisors is an integer number (136821048).

Almost surely, 2^11914253505 is an apocalyptic number.

11914253505 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

11914253505 is an abundant number, since it is smaller than the sum of its proper divisors (14355387711).

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

11914253505 is a wasteful number, since it uses less digits than its factorization.

11914253505 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 389 (or 364 counting only the distinct ones).

The product of its (nonzero) digits is 27000, while the sum is 36.

The spelling of 11914253505 in words is "eleven billion, nine hundred fourteen million, two hundred fifty-three thousand, five hundred five".