9000151344000 has 1536 divisors, whose sum is σ = 35923440384000. Its totient is φ = 2149090099200.

The previous prime is 9000151343933. The next prime is 9000151344007. The reversal of 9000151344000 is 4431510009.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9000151344007) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 5600591197 + ... + 5600592803.

It is an arithmetic number, because the mean of its divisors is an integer number (23387656500).

Almost surely, 2^{9000151344000} is an apocalyptic number.

9000151344000 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 9000151344000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17961720192000).

9000151344000 is an abundant number, since it is smaller than the sum of its proper divisors (26923289040000).

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

9000151344000 is a wasteful number, since it uses less digits than its factorization.

9000151344000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1773 (or 1748 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

Adding to 9000151344000 its reverse (4431510009), we get a palindrome (9004582854009).

The spelling of 9000151344000 in words is "nine trillion, one hundred fifty-one million, three hundred forty-four thousand".