45296802145056 has 288 divisors, whose sum is σ = 150230581490304. Its totient is φ = 11697391411200.

The previous prime is 45296802145027. The next prime is 45296802145123. The reversal of 45296802145056 is 65054120869254.

It is a junction number, because it is equal to n+sod(n) for n = 45296802144987 and 45296802145005.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 12456936 + ... + 15677016.

It is an arithmetic number, because the mean of its divisors is an integer number (521633963508).

Almost surely, 2^{45296802145056} 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 45296802145056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75115290745152).

45296802145056 is an abundant number, since it is smaller than the sum of its proper divisors (104933779345248).

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

45296802145056 is a wasteful number, since it uses less digits than its factorization.

45296802145056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3220296 (or 3220277 counting only the distinct ones).

The product of its (nonzero) digits is 20736000, while the sum is 57.

The spelling of 45296802145056 in words is "forty-five trillion, two hundred ninety-six billion, eight hundred two million, one hundred forty-five thousand, fifty-six".