45220523400 has 384 divisors, whose sum is σ = 168430886400. Its totient is φ = 11085465600.

The previous prime is 45220523357. The next prime is 45220523401. The reversal of 45220523400 is 432502254.

It is a happy number.

45220523400 is a `hidden beast` number, since 4 + 52 + 205 + 2 + 3 + 400 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (45220523401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 19023012 + ... + 19025388.

It is an arithmetic number, because the mean of its divisors is an integer number (438622100).

Almost surely, 2^45220523400 is an apocalyptic number.

45220523400 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 45220523400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84215443200).

45220523400 is an abundant number, since it is smaller than the sum of its proper divisors (123210363000).

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

45220523400 is a wasteful number, since it uses less digits than its factorization.

45220523400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2686 (or 2671 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 27.

The spelling of 45220523400 in words is "forty-five billion, two hundred twenty million, five hundred twenty-three thousand, four hundred".