11214978250320 has 480 divisors, whose sum is σ = 42988350132000. Its totient is φ = 2595705716736.

The previous prime is 11214978250297. The next prime is 11214978250321. The reversal of 11214978250320 is 2305287941211.

11214978250320 is a `hidden beast` number, since 1 + 1 + 2 + 1 + 4 + 9 + 78 + 250 + 320 = 666.

It can be written as a sum of positive squares in 16 ways, for example, as 5713545744 + 11209264704576 = 75588^2 + 3348024^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11214978250321) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 166883286 + ... + 166950474.

It is an arithmetic number, because the mean of its divisors is an integer number (89559062775).

Almost surely, 2^{11214978250320} is an apocalyptic number.

11214978250320 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 11214978250320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21494175066000).

11214978250320 is an abundant number, since it is smaller than the sum of its proper divisors (31773371881680).

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

11214978250320 is a wasteful number, since it uses less digits than its factorization.

11214978250320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 68287 (or 68278 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

The spelling of 11214978250320 in words is "eleven trillion, two hundred fourteen billion, nine hundred seventy-eight million, two hundred fifty thousand, three hundred twenty".