45485738496000 has 2496 divisors, whose sum is σ = 187870359156480. Its totient is φ = 10487070720000.

The previous prime is 45485738495983. The next prime is 45485738496001. The reversal of 45485738496000 is 69483758454.

45485738496000 is a `hidden beast` number, since 4 + 5 + 485 + 73 + 84 + 9 + 6 + 0 + 0 + 0 = 666.

It is not an unprimeable number, because it can be changed into a prime (45485738496001) by changing a digit.

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 191 ways as a sum of consecutive naturals, for example, 89362943746 + ... + 89362944254.

It is an arithmetic number, because the mean of its divisors is an integer number (75268573380).

Almost surely, 2^{45485738496000} is an apocalyptic number.

45485738496000 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 45485738496000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93935179578240).

45485738496000 is an abundant number, since it is smaller than the sum of its proper divisors (142384620660480).

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

45485738496000 is a wasteful number, since it uses less digits than its factorization.

45485738496000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 649 (or 614 counting only the distinct ones).

The product of its (nonzero) digits is 116121600, while the sum is 63.

The spelling of 45485738496000 in words is "forty-five trillion, four hundred eighty-five billion, seven hundred thirty-eight million, four hundred ninety-six thousand".