45520283088000 has 1536 divisors, whose sum is σ = 189347310996480. Its totient is φ = 10265149440000.

The previous prime is 45520283087987. The next prime is 45520283088013. The reversal of 45520283088000 is 88038202554.

45520283088000 is a `hidden beast` number, since 45 + 520 + 2 + 8 + 3 + 0 + 8 + 80 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (45520283087987) and next prime (45520283088013).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 34988687350 + ... + 34988688650.

It is an arithmetic number, because the mean of its divisors is an integer number (123272988930).

Almost surely, 2^{45520283088000} is an apocalyptic number.

45520283088000 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 45520283088000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94673655498240).

45520283088000 is an abundant number, since it is smaller than the sum of its proper divisors (143827027908480).

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

45520283088000 is a wasteful number, since it uses less digits than its factorization.

45520283088000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1783 (or 1758 counting only the distinct ones).

The product of its (nonzero) digits is 614400, while the sum is 45.

The spelling of 45520283088000 in words is "forty-five trillion, five hundred twenty billion, two hundred eighty-three million, eighty-eight thousand".