9146025000 has 288 divisors, whose sum is σ = 35390234880. Its totient is φ = 2090160000.

The previous prime is 9146024981. The next prime is 9146025013. The reversal of 9146025000 is 5206419.

9146025000 is a `hidden beast` number, since 9 + 1 + 4 + 602 + 50 + 0 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1572097 + ... + 1577903.

It is an arithmetic number, because the mean of its divisors is an integer number (122882760).

Almost surely, 2^9146025000 is an apocalyptic number.

9146025000 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 9146025000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17695117440).

9146025000 is an abundant number, since it is smaller than the sum of its proper divisors (26244209880).

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

9146025000 is a wasteful number, since it uses less digits than its factorization.

9146025000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5851 (or 5824 counting only the distinct ones).

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

The square root of 9146025000 is about 95634.8524336186. The cubic root of 9146025000 is about 2091.2733096979.

The spelling of 9146025000 in words is "nine billion, one hundred forty-six million, twenty-five thousand".