45485208048000 has 2048 divisors, whose sum is σ = 183892819968000. Its totient is φ = 9931506278400.

The previous prime is 45485208047989. The next prime is 45485208048067. The reversal of 45485208048000 is 84080258454.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 33273743317 + ... + 33273744683.

It is an arithmetic number, because the mean of its divisors is an integer number (89791416000).

Almost surely, 2^{45485208048000} is an apocalyptic number.

45485208048000 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 45485208048000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91946409984000).

45485208048000 is an abundant number, since it is smaller than the sum of its proper divisors (138407611920000).

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

45485208048000 is a wasteful number, since it uses less digits than its factorization.

45485208048000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1510 (or 1474 counting only the distinct ones).

The product of its (nonzero) digits is 1638400, while the sum is 48.

The spelling of 45485208048000 in words is "forty-five trillion, four hundred eighty-five billion, two hundred eight million, forty-eight thousand".