45268557600 has 288 divisors, whose sum is σ = 171984992256. Its totient is φ = 10126771200.

The previous prime is 45268557589. The next prime is 45268557667. The reversal of 45268557600 is 675586254.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 45268557600.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 760935 + ... + 818265.

It is an arithmetic number, because the mean of its divisors is an integer number (597170112).

Almost surely, 2^45268557600 is an apocalyptic number.

45268557600 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 45268557600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85992496128).

45268557600 is an abundant number, since it is smaller than the sum of its proper divisors (126716434656).

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

45268557600 is a wasteful number, since it uses less digits than its factorization.

45268557600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57408 (or 57395 counting only the distinct ones).

The product of its (nonzero) digits is 2016000, while the sum is 48.

The spelling of 45268557600 in words is "forty-five billion, two hundred sixty-eight million, five hundred fifty-seven thousand, six hundred".