45057267216 has 240 divisors, whose sum is σ = 137628691200. Its totient is φ = 13678046208.

The previous prime is 45057267197. The next prime is 45057267239. The reversal of 45057267216 is 61276275054.

45057267216 is a `hidden beast` number, since 4 + 5 + 0 + 572 + 6 + 72 + 1 + 6 = 666.

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 47 ways as a sum of consecutive naturals, for example, 89576821 + ... + 89577323.

It is an arithmetic number, because the mean of its divisors is an integer number (573452880).

Almost surely, 2^45057267216 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45057267216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68814345600).

45057267216 is an abundant number, since it is smaller than the sum of its proper divisors (92571423984).

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

45057267216 is a wasteful number, since it uses less digits than its factorization.

45057267216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1078 (or 1069 counting only the distinct ones).

The product of its (nonzero) digits is 705600, while the sum is 45.

The spelling of 45057267216 in words is "forty-five billion, fifty-seven million, two hundred sixty-seven thousand, two hundred sixteen".