9045051696000 has 768 divisors, whose sum is σ = 33189490825920. Its totient is φ = 2359977984000.

The previous prime is 9045051695917. The next prime is 9045051696059. The reversal of 9045051696000 is 6961505409.

It is a happy number.

9045051696000 is a `hidden beast` number, since 9 + 0 + 45 + 0 + 516 + 96 + 0 + 0 + 0 = 666.

9045051696000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1730445387 + ... + 1730450613.

Almost surely, 2^{9045051696000} is an apocalyptic number.

9045051696000 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 9045051696000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16594745412960).

9045051696000 is an abundant number, since it is smaller than the sum of its proper divisors (24144439129920).

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

9045051696000 is a wasteful number, since it uses less digits than its factorization.

9045051696000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5520 (or 5495 counting only the distinct ones).

The product of its (nonzero) digits is 291600, while the sum is 45.

The spelling of 9045051696000 in words is "nine trillion, forty-five billion, fifty-one million, six hundred ninety-six thousand".