9221525142480 has 1280 divisors, whose sum is σ = 40592441917440. Its totient is φ = 1874576867328.

The previous prime is 9221525142421. The next prime is 9221525142491. The reversal of 9221525142480 is 842415251229.

9221525142480 is a `hidden beast` number, since 9 + 2 + 2 + 1 + 5 + 25 + 142 + 480 = 666.

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 pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 490679964 + ... + 490698756.

It is an arithmetic number, because the mean of its divisors is an integer number (31712845248).

Almost surely, 2^{9221525142480} is an apocalyptic number.

9221525142480 is a gapful number since it is divisible by the number (90) 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 9221525142480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20296220958720).

9221525142480 is an abundant number, since it is smaller than the sum of its proper divisors (31370916774960).

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

9221525142480 is a wasteful number, since it uses less digits than its factorization.

9221525142480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18945 (or 18933 counting only the distinct ones).

The product of its (nonzero) digits is 460800, while the sum is 45.

The spelling of 9221525142480 in words is "nine trillion, two hundred twenty-one billion, five hundred twenty-five million, one hundred forty-two thousand, four hundred eighty".