45817069627296 has 72 divisors (see below), whose sum is σ = 142137045558144. Its totient is φ = 13883960492160.

The previous prime is 45817069627249. The next prime is 45817069627319. The reversal of 45817069627296 is 69272696071854.

45817069627296 is a `hidden beast` number, since 4 + 58 + 170 + 69 + 62 + 7 + 296 = 666.

45817069627296 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7231226256 + ... + 7231232591.

It is an arithmetic number, because the mean of its divisors is an integer number (1974125632752).

Almost surely, 2^{45817069627296} is an apocalyptic number.

It is an amenable number.

45817069627296 is an abundant number, since it is smaller than the sum of its proper divisors (96319975930848).

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

45817069627296 is a wasteful number, since it uses less digits than its factorization.

45817069627296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14462458874 (or 14462458863 counting only the distinct ones).

The product of its (nonzero) digits is 548674560, while the sum is 72.

The spelling of 45817069627296 in words is "forty-five trillion, eight hundred seventeen billion, sixty-nine million, six hundred twenty-seven thousand, two hundred ninety-six".