45503265600 has 252 divisors, whose sum is σ = 174170785516. Its totient is φ = 11200757760.

The previous prime is 45503265581. The next prime is 45503265601. The reversal of 45503265600 is 656230554.

It is a happy number.

45503265600 is a `hidden beast` number, since 45 + 5 + 0 + 3 + 2 + 6 + 5 + 600 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 6261240384 + 39242025216 = 79128^2 + 198096^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45503265601) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 65664 + ... + 308736.

Almost surely, 2^45503265600 is an apocalyptic number.

45503265600 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 45503265600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87085392758).

45503265600 is an abundant number, since it is smaller than the sum of its proper divisors (128667519916).

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

45503265600 is a wasteful number, since it uses less digits than its factorization.

45503265600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 243114 (or 243096 counting only the distinct ones).

The product of its (nonzero) digits is 108000, while the sum is 36.

The spelling of 45503265600 in words is "forty-five billion, five hundred three million, two hundred sixty-five thousand, six hundred".