45363052800 has 648 divisors, whose sum is σ = 180767987400. Its totient is φ = 10776084480.

The previous prime is 45363052769. The next prime is 45363052817. The reversal of 45363052800 is 825036354.

It is a happy number.

45363052800 is a `hidden beast` number, since 45 + 36 + 305 + 280 + 0 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 10462834944 + 34900217856 = 102288^2 + 186816^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 21714156 + ... + 21716244.

Almost surely, 2^45363052800 is an apocalyptic number.

45363052800 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 45363052800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90383993700).

45363052800 is an abundant number, since it is smaller than the sum of its proper divisors (135404934600).

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

45363052800 is a wasteful number, since it uses less digits than its factorization.

45363052800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2163 (or 2141 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

The spelling of 45363052800 in words is "forty-five billion, three hundred sixty-three million, fifty-two thousand, eight hundred".