9149201000 has 64 divisors (see below), whose sum is σ = 21495015360. Its totient is φ = 3645000000.

The previous prime is 9149200969. The next prime is 9149201021. The reversal of 9149201000 is 1029419.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 232775 + ... + 269225.

It is an arithmetic number, because the mean of its divisors is an integer number (335859615).

Almost surely, 2^9149201000 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 9149201000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10747507680).

9149201000 is an abundant number, since it is smaller than the sum of its proper divisors (12345814360).

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

9149201000 is a wasteful number, since it uses less digits than its factorization.

9149201000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36723 (or 36709 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 26.

The square root of 9149201000 is about 95651.4558174626. The cubic root of 9149201000 is about 2091.5153498327.

The spelling of 9149201000 in words is "nine billion, one hundred forty-nine million, two hundred one thousand".