45676046771328 has 256 divisors, whose sum is σ = 123936609600000. Its totient is φ = 14901646835712.

The previous prime is 45676046771261. The next prime is 45676046771351. The reversal of 45676046771328 is 82317764067654.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2300702650 + ... + 2300722502.

It is an arithmetic number, because the mean of its divisors is an integer number (484127381250).

Almost surely, 2^{45676046771328} is an apocalyptic number.

45676046771328 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 45676046771328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61968304800000).

45676046771328 is an abundant number, since it is smaller than the sum of its proper divisors (78260562828672).

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

45676046771328 is a wasteful number, since it uses less digits than its factorization.

45676046771328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20607 (or 20595 counting only the distinct ones).

The product of its (nonzero) digits is 284497920, while the sum is 66.

The spelling of 45676046771328 in words is "forty-five trillion, six hundred seventy-six billion, forty-six million, seven hundred seventy-one thousand, three hundred twenty-eight".