45363533600 has 720 divisors, whose sum is σ = 149668858080. Its totient is φ = 13276569600.

The previous prime is 45363533587. The next prime is 45363533603. The reversal of 45363533600 is 633536354.

It is a Harshad number since it is a multiple of its sum of digits (38).

It is not an unprimeable number, because it can be changed into a prime (45363533603) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 401447144 + ... + 401447256.

It is an arithmetic number, because the mean of its divisors is an integer number (207873414).

Almost surely, 2^45363533600 is an apocalyptic number.

45363533600 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 45363533600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74834429040).

45363533600 is an abundant number, since it is smaller than the sum of its proper divisors (104305324480).

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

45363533600 is a wasteful number, since it uses less digits than its factorization.

45363533600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 191 (or 157 counting only the distinct ones).

The product of its (nonzero) digits is 291600, while the sum is 38.

The spelling of 45363533600 in words is "forty-five billion, three hundred sixty-three million, five hundred thirty-three thousand, six hundred".