45563814400 has 120 divisors (see below), whose sum is σ = 121572039204. Its totient is φ = 16823500800.

The previous prime is 45563814379. The next prime is 45563814403. The reversal of 45563814400 is 441836554.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 531579136 + 45032235264 = 23056^2 + 212208^2 .

It is a super-2 number, since 2×45563814400² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (45563814403) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 29490 + ... + 303310.

Almost surely, 2^45563814400 is an apocalyptic number.

45563814400 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 45563814400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60786019602).

45563814400 is an abundant number, since it is smaller than the sum of its proper divisors (76008224804).

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

45563814400 is a wasteful number, since it uses less digits than its factorization.

45563814400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 273862 (or 273841 counting only the distinct ones).

The product of its (nonzero) digits is 230400, while the sum is 40.

The spelling of 45563814400 in words is "forty-five billion, five hundred sixty-three million, eight hundred fourteen thousand, four hundred".