45476573087520 has 480 divisors, whose sum is σ = 171175770179568. Its totient is φ = 11330408742912.

The previous prime is 45476573087483. The next prime is 45476573087567. The reversal of 45476573087520 is 2578037567454.

It is a happy number.

45476573087520 is a `hidden beast` number, since 4 + 5 + 4 + 7 + 6 + 573 + 0 + 8 + 7 + 52 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 23409766196496 + 22066806891024 = 4838364^2 + 4697532^2 .

It is a tau number, because it is divible by the number of its divisors (480).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 29430514 + ... + 30937166.

Almost surely, 2^{45476573087520} is an apocalyptic number.

45476573087520 is a gapful number since it is divisible by the number (40) 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 45476573087520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85587885089784).

45476573087520 is an abundant number, since it is smaller than the sum of its proper divisors (125699197092048).

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

45476573087520 is a wasteful number, since it uses less digits than its factorization.

45476573087520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1506834 (or 1506817 counting only the distinct ones).

The product of its (nonzero) digits is 197568000, while the sum is 63.

The spelling of 45476573087520 in words is "forty-five trillion, four hundred seventy-six billion, five hundred seventy-three million, eighty-seven thousand, five hundred twenty".