45779228000 has 192 divisors, whose sum is σ = 123002058816. Its totient is φ = 16606720000.

The previous prime is 45779227999. The next prime is 45779228041. The reversal of 45779228000 is 82297754.

It is a Harshad number since it is a multiple of its sum of digits (44).

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, 22923002 + ... + 22924998.

It is an arithmetic number, because the mean of its divisors is an integer number (640635723).

Almost surely, 2^45779228000 is an apocalyptic number.

45779228000 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 45779228000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61501029408).

45779228000 is an abundant number, since it is smaller than the sum of its proper divisors (77222830816).

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

45779228000 is a wasteful number, since it uses less digits than its factorization.

45779228000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2554 (or 2536 counting only the distinct ones).

The product of its (nonzero) digits is 282240, while the sum is 44.

The spelling of 45779228000 in words is "forty-five billion, seven hundred seventy-nine million, two hundred twenty-eight thousand".