45262149353256 has 256 divisors, whose sum is σ = 129646448640000. Its totient is φ = 13042093996800.

The previous prime is 45262149353249. The next prime is 45262149353261. The reversal of 45262149353256 is 65235394126254.

It is a happy number.

45262149353256 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 45262149353196 and 45262149353205.

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 63 ways as a sum of consecutive naturals, for example, 1052121715 + ... + 1052164733.

It is an arithmetic number, because the mean of its divisors is an integer number (506431440000).

Almost surely, 2^{45262149353256} 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 45262149353256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64823224320000).

45262149353256 is an abundant number, since it is smaller than the sum of its proper divisors (84384299286744).

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

45262149353256 is a wasteful number, since it uses less digits than its factorization.

45262149353256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45308 (or 45304 counting only the distinct ones).

The product of its digits is 46656000, while the sum is 57.

The spelling of 45262149353256 in words is "forty-five trillion, two hundred sixty-two billion, one hundred forty-nine million, three hundred fifty-three thousand, two hundred fifty-six".