9045954000 has 120 divisors (see below), whose sum is σ = 31594564872. Its totient is φ = 2412249600.

The previous prime is 9045953999. The next prime is 9045954007. The reversal of 9045954000 is 4595409.

It can be written as a sum of positive squares in 4 ways, for example, as 102090816 + 8943863184 = 10104^2 + 94572^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9045954007) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 233277 + ... + 269276.

Almost surely, 2^9045954000 is an apocalyptic number.

9045954000 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

9045954000 is an abundant number, since it is smaller than the sum of its proper divisors (22548610872).

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

9045954000 is a wasteful number, since it uses less digits than its factorization.

9045954000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 502582 (or 502563 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 36.

The square root of 9045954000 is about 95110.2202710098. The cubic root of 9045954000 is about 2083.6181171582.

The spelling of 9045954000 in words is "nine billion, forty-five million, nine hundred fifty-four thousand".