11224966114560 has 864 divisors, whose sum is σ = 41895360041472. Its totient is φ = 2539274158080.

The previous prime is 11224966114529. The next prime is 11224966114573. The reversal of 11224966114560 is 6541166942211.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1021653387 + ... + 1021664373.

It is an arithmetic number, because the mean of its divisors is an integer number (48490000048).

Almost surely, 2^{11224966114560} is an apocalyptic number.

11224966114560 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 11224966114560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20947680020736).

11224966114560 is an abundant number, since it is smaller than the sum of its proper divisors (30670393926912).

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

11224966114560 is a wasteful number, since it uses less digits than its factorization.

11224966114560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11127 (or 11094 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 48.

The spelling of 11224966114560 in words is "eleven trillion, two hundred twenty-four billion, nine hundred sixty-six million, one hundred fourteen thousand, five hundred sixty".