11114662445280 has 240 divisors, whose sum is σ = 39365101624464. Its totient is φ = 2953361295360.

The previous prime is 11114662445239. The next prime is 11114662445377. The reversal of 11114662445280 is 8254426641111.

11114662445280 is a `hidden beast` number, since 1 + 1 + 1 + 14 + 6 + 624 + 4 + 5 + 2 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2115759 + ... + 5167761.

Almost surely, 2^{11114662445280} is an apocalyptic number.

11114662445280 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 11114662445280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19682550812232).

11114662445280 is an abundant number, since it is smaller than the sum of its proper divisors (28250439179184).

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

11114662445280 is a wasteful number, since it uses less digits than its factorization.

11114662445280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3052311 (or 3052294 counting only the distinct ones).

The product of its (nonzero) digits is 368640, while the sum is 45.

The spelling of 11114662445280 in words is "eleven trillion, one hundred fourteen billion, six hundred sixty-two million, four hundred forty-five thousand, two hundred eighty".