45064350670320 has 240 divisors, whose sum is σ = 151744667630400. Its totient is φ = 11985129123840.

The previous prime is 45064350670307. The next prime is 45064350670387. The reversal of 45064350670320 is 2307605346054.

45064350670320 is a `hidden beast` number, since 4 + 5 + 0 + 6 + 43 + 506 + 70 + 32 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

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 polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1584582661 + ... + 1584611099.

It is an arithmetic number, because the mean of its divisors is an integer number (632269448460).

Almost surely, 2^{45064350670320} is an apocalyptic number.

45064350670320 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 45064350670320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75872333815200).

45064350670320 is an abundant number, since it is smaller than the sum of its proper divisors (106680316960080).

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

45064350670320 is a wasteful number, since it uses less digits than its factorization.

45064350670320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34248 (or 34239 counting only the distinct ones).

The product of its (nonzero) digits is 1814400, while the sum is 45.

The spelling of 45064350670320 in words is "forty-five trillion, sixty-four billion, three hundred fifty million, six hundred seventy thousand, three hundred twenty".