45322145400 has 384 divisors, whose sum is σ = 167364288000. Its totient is φ = 9926461440.

The previous prime is 45322145347. The next prime is 45322145441. The reversal of 45322145400 is 454122354.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

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, 16928862 + ... + 16931538.

It is an arithmetic number, because the mean of its divisors is an integer number (435844500).

Almost surely, 2^45322145400 is an apocalyptic number.

45322145400 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 45322145400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83682144000).

45322145400 is an abundant number, since it is smaller than the sum of its proper divisors (122042142600).

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

45322145400 is a wasteful number, since it uses less digits than its factorization.

45322145400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2871 (or 2862 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 30.

Adding to 45322145400 its reverse (454122354), we get a palindrome (45776267754).

The spelling of 45322145400 in words is "forty-five billion, three hundred twenty-two million, one hundred forty-five thousand, four hundred".