146806318080 has 880 divisors, whose sum is σ = 572573084160. Its totient is φ = 35831808000.

The previous prime is 146806318067. The next prime is 146806318117. The reversal of 146806318080 is 80813608641.

It is a happy number.

146806318080 is a `hidden beast` number, since 1 + 4 + 6 + 8 + 0 + 631 + 8 + 0 + 8 + 0 = 666.

It is a super-2 number, since 2×146806318080² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 244269780 + ... + 244270380.

It is an arithmetic number, because the mean of its divisors is an integer number (650651232).

Almost surely, 2^146806318080 is an apocalyptic number.

146806318080 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 146806318080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (286286542080).

146806318080 is an abundant number, since it is smaller than the sum of its proper divisors (425766766080).

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

146806318080 is a wasteful number, since it uses less digits than its factorization.

146806318080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 688 (or 661 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 45.

The spelling of 146806318080 in words is "one hundred forty-six billion, eight hundred six million, three hundred eighteen thousand, eighty".