11227397364000 has 960 divisors, whose sum is σ = 42459719702400. Its totient is φ = 2903583283200.

The previous prime is 11227397363981. The next prime is 11227397364011. The reversal of 11227397364000 is 46379372211.

11227397364000 is a `hidden beast` number, since 1 + 1 + 227 + 397 + 36 + 4 + 0 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 4159834651 + ... + 4159837349.

It is an arithmetic number, because the mean of its divisors is an integer number (44228874690).

Almost surely, 2^{11227397364000} is an apocalyptic number.

11227397364000 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 11227397364000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21229859851200).

11227397364000 is an abundant number, since it is smaller than the sum of its proper divisors (31232322338400).

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

11227397364000 is a wasteful number, since it uses less digits than its factorization.

11227397364000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3120 (or 3093 counting only the distinct ones).

The product of its (nonzero) digits is 381024, while the sum is 45.

The spelling of 11227397364000 in words is "eleven trillion, two hundred twenty-seven billion, three hundred ninety-seven million, three hundred sixty-four thousand".