11325379500414 has 288 divisors, whose sum is σ = 31211319499776. Its totient is φ = 2946040312320.

The previous prime is 11325379500389. The next prime is 11325379500419. The reversal of 11325379500414 is 41400597352311.

11325379500414 is a `hidden beast` number, since 1 + 1 + 32 + 5 + 3 + 79 + 500 + 41 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 11325379500414.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11325379500419) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 2102351029 + ... + 2102356415.

It is an arithmetic number, because the mean of its divisors is an integer number (108372637152).

Almost surely, 2^{11325379500414} is an apocalyptic number.

11325379500414 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 11325379500414, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15605659749888).

11325379500414 is an abundant number, since it is smaller than the sum of its proper divisors (19885939999362).

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

11325379500414 is a wasteful number, since it uses less digits than its factorization.

11325379500414 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9980 (or 9970 counting only the distinct ones).

The product of its (nonzero) digits is 453600, while the sum is 45.

The spelling of 11325379500414 in words is "eleven trillion, three hundred twenty-five billion, three hundred seventy-nine million, five hundred thousand, four hundred fourteen".