45090169600 has 216 divisors, whose sum is σ = 131667350528. Its totient is φ = 14960332800.

The previous prime is 45090169583. The next prime is 45090169609. The reversal of 45090169600 is 696109054.

It is a hoax number, since the sum of its digits (40) coincides with the sum of the digits of its distinct prime factors.

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 (45090169609) 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 23 ways as a sum of consecutive naturals, for example, 1372567 + ... + 1405033.

Almost surely, 2^45090169600 is an apocalyptic number.

45090169600 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 45090169600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65833675264).

45090169600 is an abundant number, since it is smaller than the sum of its proper divisors (86577180928).

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

45090169600 is a wasteful number, since it uses less digits than its factorization.

45090169600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32531 (or 32512 counting only the distinct ones).

The product of its (nonzero) digits is 58320, while the sum is 40.

The spelling of 45090169600 in words is "forty-five billion, ninety million, one hundred sixty-nine thousand, six hundred".