20146956000 has 192 divisors, whose sum is σ = 66183324480. Its totient is φ = 5357721600.

The previous prime is 20146955977. The next prime is 20146956043. The reversal of 20146956000 is 65964102.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4761886 + ... + 4766114.

It is an arithmetic number, because the mean of its divisors is an integer number (344704815).

Almost surely, 2^20146956000 is an apocalyptic number.

20146956000 is a gapful number since it is divisible by the number (20) 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 20146956000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33091662240).

20146956000 is an abundant number, since it is smaller than the sum of its proper divisors (46036368480).

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

20146956000 is a wasteful number, since it uses less digits than its factorization.

20146956000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4654 (or 4636 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 33.

The spelling of 20146956000 in words is "twenty billion, one hundred forty-six million, nine hundred fifty-six thousand".