45295761200 has 240 divisors, whose sum is σ = 115777589760. Its totient is φ = 17001600000.

The previous prime is 45295761191. The next prime is 45295761209. The reversal of 45295761200 is 216759254.

It is an interprime number because it is at equal distance from previous prime (45295761191) and next prime (45295761209).

It is not an unprimeable number, because it can be changed into a prime (45295761209) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 136845035 + ... + 136845365.

It is an arithmetic number, because the mean of its divisors is an integer number (482406624).

Almost surely, 2^45295761200 is an apocalyptic number.

45295761200 is a gapful number since it is divisible by the number (40) 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 45295761200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57888794880).

45295761200 is an abundant number, since it is smaller than the sum of its proper divisors (70481828560).

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

45295761200 is a wasteful number, since it uses less digits than its factorization.

45295761200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 676 (or 665 counting only the distinct ones).

The product of its (nonzero) digits is 151200, while the sum is 41.

The spelling of 45295761200 in words is "forty-five billion, two hundred ninety-five million, seven hundred sixty-one thousand, two hundred".