45063782400 has 1080 divisors, whose sum is σ = 190348483584. Its totient is φ = 9201254400.

The previous prime is 45063782333. The next prime is 45063782419. The reversal of 45063782400 is 428736054.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1453670385 + ... + 1453670415.

Almost surely, 2^45063782400 is an apocalyptic number.

45063782400 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 45063782400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95174241792).

45063782400 is an abundant number, since it is smaller than the sum of its proper divisors (145284701184).

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

45063782400 is a wasteful number, since it uses less digits than its factorization.

45063782400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105 (or 61 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 39.

The spelling of 45063782400 in words is "forty-five billion, sixty-three million, seven hundred eighty-two thousand, four hundred".