9045689400 has 288 divisors, whose sum is σ = 33250885200. Its totient is φ = 2185574400.

The previous prime is 9045689399. The next prime is 9045689431. The reversal of 9045689400 is 49865409.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 8097642 + ... + 8098758.

Almost surely, 2^9045689400 is an apocalyptic number.

9045689400 is a gapful number since it is divisible by the number (90) 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 9045689400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16625442600).

9045689400 is an abundant number, since it is smaller than the sum of its proper divisors (24205195800).

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

9045689400 is a wasteful number, since it uses less digits than its factorization.

9045689400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1559 (or 1547 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The square root of 9045689400 is about 95108.8292431360. The cubic root of 9045689400 is about 2083.5978012347.

The spelling of 9045689400 in words is "nine billion, forty-five million, six hundred eighty-nine thousand, four hundred".