1522227456000 has 576 divisors, whose sum is σ = 5518944849600. Its totient is φ = 403550208000.

The previous prime is 1522227455939. The next prime is 1522227456017. The reversal of 1522227456000 is 6547222251.

1522227456000 is a `hidden beast` number, since 1 + 5 + 2 + 2 + 2 + 2 + 7 + 45 + 600 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 412414155 + ... + 412417845.

It is an arithmetic number, because the mean of its divisors is an integer number (9581501475).

Almost surely, 2^{1522227456000} is an apocalyptic number.

1522227456000 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 1522227456000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2759472424800).

1522227456000 is an abundant number, since it is smaller than the sum of its proper divisors (3996717393600).

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

1522227456000 is a wasteful number, since it uses less digits than its factorization.

1522227456000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3913 (or 3880 counting only the distinct ones).

The product of its (nonzero) digits is 67200, while the sum is 36.

The spelling of 1522227456000 in words is "one trillion, five hundred twenty-two billion, two hundred twenty-seven million, four hundred fifty-six thousand".