45054755200 has 864 divisors, whose sum is σ = 150336784080. Its totient is φ = 13199155200.

The previous prime is 45054755159. The next prime is 45054755201. The reversal of 45054755200 is 255745054.

It is a super-2 number, since 2×45054755200² (a number of 22 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 45054755200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45054755201) by changing a digit.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 1453379185 + ... + 1453379215.

Almost surely, 2^45054755200 is an apocalyptic number.

45054755200 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 45054755200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75168392040).

45054755200 is an abundant number, since it is smaller than the sum of its proper divisors (105282028880).

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

45054755200 is a wasteful number, since it uses less digits than its factorization.

45054755200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 136 (or 81 counting only the distinct ones).

The product of its (nonzero) digits is 140000, while the sum is 37.

The spelling of 45054755200 in words is "forty-five billion, fifty-four million, seven hundred fifty-five thousand, two hundred".