45419609208960 has 5120 divisors, whose sum is σ = 212109572505600. Its totient is φ = 9029615616000.

The previous prime is 45419609208943. The next prime is 45419609208989. The reversal of 45419609208960 is 6980290691454.

45419609208960 is a `hidden beast` number, since 4 + 5 + 4 + 19 + 609 + 2 + 0 + 8 + 9 + 6 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 639 ways as a sum of consecutive naturals, for example, 622186427484 + ... + 622186427556.

It is an arithmetic number, because the mean of its divisors is an integer number (41427650880).

Almost surely, 2^{45419609208960} is an apocalyptic number.

45419609208960 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 45419609208960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106054786252800).

45419609208960 is an abundant number, since it is smaller than the sum of its proper divisors (166689963296640).

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

45419609208960 is a wasteful number, since it uses less digits than its factorization.

45419609208960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 273 (or 252 counting only the distinct ones).

The product of its (nonzero) digits is 33592320, while the sum is 63.

The spelling of 45419609208960 in words is "forty-five trillion, four hundred nineteen billion, six hundred nine million, two hundred eight thousand, nine hundred sixty".