146311968000 has 576 divisors, whose sum is σ = 533013062400. Its totient is φ = 35278848000.

The previous prime is 146311967983. The next prime is 146311968007. The reversal of 146311968000 is 869113641.

It is a self number, because there is not a number n which added to its sum of digits gives 146311968000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (146311968007) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 368543802 + ... + 368544198.

It is an arithmetic number, because the mean of its divisors is an integer number (925369900).

Almost surely, 2^146311968000 is an apocalyptic number.

146311968000 is a gapful number since it is divisible by the number (10) 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 146311968000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (266506531200).

146311968000 is an abundant number, since it is smaller than the sum of its proper divisors (386701094400).

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

146311968000 is a wasteful number, since it uses less digits than its factorization.

146311968000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 791 (or 767 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 39.

The spelling of 146311968000 in words is "one hundred forty-six billion, three hundred eleven million, nine hundred sixty-eight thousand".