45345082776 has 256 divisors, whose sum is σ = 141557760000. Its totient is φ = 11810437632.

The previous prime is 45345082771. The next prime is 45345082781. The reversal of 45345082776 is 67728054354.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (45345082771) and next prime (45345082781).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45345082771) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 35452905 + ... + 35454183.

It is an arithmetic number, because the mean of its divisors is an integer number (552960000).

Almost surely, 2^45345082776 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 45345082776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70778880000).

45345082776 is an abundant number, since it is smaller than the sum of its proper divisors (96212677224).

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

45345082776 is a wasteful number, since it uses less digits than its factorization.

45345082776 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1726 (or 1722 counting only the distinct ones).

The product of its (nonzero) digits is 5644800, while the sum is 51.

The spelling of 45345082776 in words is "forty-five billion, three hundred forty-five million, eighty-two thousand, seven hundred seventy-six".