32101146000 has 1920 divisors, whose sum is σ = 156435701760. Its totient is φ = 5930496000.

The previous prime is 32101145971. The next prime is 32101146037. The reversal of 32101146000 is 64110123.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 605681974 + ... + 605682026.

It is an arithmetic number, because the mean of its divisors is an integer number (81476928).

Almost surely, 2^32101146000 is an apocalyptic number.

32101146000 is a gapful number since it is divisible by the number (30) 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 32101146000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78217850880).

32101146000 is an abundant number, since it is smaller than the sum of its proper divisors (124334555760).

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

32101146000 is a wasteful number, since it uses less digits than its factorization.

32101146000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 142 (or 123 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 32101146000 its reverse (64110123), we get a palindrome (32165256123).

The spelling of 32101146000 in words is "thirty-two billion, one hundred one million, one hundred forty-six thousand".