11746224322560 has 3072 divisors, whose sum is σ = 53812781568000. Its totient is φ = 2364580823040.

The previous prime is 11746224322507. The next prime is 11746224322661. The reversal of 11746224322560 is 6522342264711.

11746224322560 is a `hidden beast` number, since 1 + 1 + 7 + 4 + 6 + 22 + 43 + 22 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (3072).

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 255 ways as a sum of consecutive naturals, for example, 60861265824 + ... + 60861266016.

It is an arithmetic number, because the mean of its divisors is an integer number (17517181500).

Almost surely, 2^{11746224322560} is an apocalyptic number.

11746224322560 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 11746224322560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26906390784000).

11746224322560 is an abundant number, since it is smaller than the sum of its proper divisors (42066557245440).

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

11746224322560 is a wasteful number, since it uses less digits than its factorization.

11746224322560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 349 (or 323 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 45.

The spelling of 11746224322560 in words is "eleven trillion, seven hundred forty-six billion, two hundred twenty-four million, three hundred twenty-two thousand, five hundred sixty".