45298828800 has 300 divisors, whose sum is σ = 167658131916. Its totient is φ = 12079411200.

The previous prime is 45298828787. The next prime is 45298828801. The reversal of 45298828800 is 882889254.

It is a happy number.

45298828800 is a `hidden beast` number, since 452 + 98 + 8 + 28 + 80 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (300).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45298828801) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 1014955 + ... + 1058645.

Almost surely, 2^45298828800 is an apocalyptic number.

45298828800 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 45298828800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83829065958).

45298828800 is an abundant number, since it is smaller than the sum of its proper divisors (122359303116).

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

45298828800 is an equidigital number, since it uses as much as digits as its factorization.

45298828800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43731 (or 43701 counting only the distinct ones).

The product of its (nonzero) digits is 2949120, while the sum is 54.

The spelling of 45298828800 in words is "forty-five billion, two hundred ninety-eight million, eight hundred twenty-eight thousand, eight hundred".