45287227360368 has 480 divisors, whose sum is σ = 150660505681920. Its totient is φ = 12430716572160.

The previous prime is 45287227360363. The next prime is 45287227360381. The reversal of 45287227360368 is 86306372278254.

45287227360368 is a `hidden beast` number, since 4 + 52 + 87 + 22 + 73 + 60 + 368 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45287227360363) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1931460421 + ... + 1931483867.

It is an arithmetic number, because the mean of its divisors is an integer number (313876053504).

Almost surely, 2^{45287227360368} is an apocalyptic number.

45287227360368 is a gapful number since it is divisible by the number (48) 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 45287227360368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75330252840960).

45287227360368 is an abundant number, since it is smaller than the sum of its proper divisors (105373278321552).

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

45287227360368 is a wasteful number, since it uses less digits than its factorization.

45287227360368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24265 (or 24256 counting only the distinct ones).

The product of its (nonzero) digits is 162570240, while the sum is 63.

The spelling of 45287227360368 in words is "forty-five trillion, two hundred eighty-seven billion, two hundred twenty-seven million, three hundred sixty thousand, three hundred sixty-eight".