9045212946000 has 1920 divisors, whose sum is σ = 37758943272960. Its totient is φ = 1822740480000.

The previous prime is 9045212945983. The next prime is 9045212946017. The reversal of 9045212946000 is 6492125409.

It is an interprime number because it is at equal distance from previous prime (9045212945983) and next prime (9045212946017).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 29084285845 + ... + 29084286155.

It is an arithmetic number, because the mean of its divisors is an integer number (19666116288).

Almost surely, 2^{9045212946000} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9045212946000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18879471636480).

9045212946000 is an abundant number, since it is smaller than the sum of its proper divisors (28713730326960).

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

9045212946000 is a wasteful number, since it uses less digits than its factorization.

9045212946000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 522 (or 495 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 42.

The spelling of 9045212946000 in words is "nine trillion, forty-five billion, two hundred twelve million, nine hundred forty-six thousand".