45511250304 has 256 divisors, whose sum is σ = 135442944000. Its totient is φ = 13448208384.

The previous prime is 45511250233. The next prime is 45511250329. The reversal of 45511250304 is 40305211554.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 14590057 + ... + 14593175.

It is an arithmetic number, because the mean of its divisors is an integer number (529074000).

Almost surely, 2^45511250304 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 45511250304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67721472000).

45511250304 is an abundant number, since it is smaller than the sum of its proper divisors (89931693696).

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

45511250304 is a wasteful number, since it uses less digits than its factorization.

45511250304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3265 (or 3253 counting only the distinct ones).

The product of its (nonzero) digits is 12000, while the sum is 30.

Adding to 45511250304 its reverse (40305211554), we get a palindrome (85816461858).

It can be divided in two parts, 45511250 and 304, that added together give a palindrome (45511554).

The spelling of 45511250304 in words is "forty-five billion, five hundred eleven million, two hundred fifty thousand, three hundred four".