45892228096 has 352 divisors, whose sum is σ = 113650750080. Its totient is φ = 18235392000.

The previous prime is 45892228091. The next prime is 45892228097. The reversal of 45892228096 is 69082229854.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (352).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45892228091) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 428899275 + ... + 428899381.

Almost surely, 2^45892228096 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 45892228096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56825375040).

45892228096 is an abundant number, since it is smaller than the sum of its proper divisors (67758521984).

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

45892228096 is a wasteful number, since it uses less digits than its factorization.

45892228096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 281 (or 263 counting only the distinct ones).

The product of its (nonzero) digits is 4976640, while the sum is 55.

The spelling of 45892228096 in words is "forty-five billion, eight hundred ninety-two million, two hundred twenty-eight thousand, ninety-six".