146283271680 has 320 divisors, whose sum is σ = 575571161088. Its totient is φ = 30864015360.

The previous prime is 146283271643. The next prime is 146283271747. The reversal of 146283271680 is 86172382641.

It is a tau number, because it is divible by the number of its divisors (320).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 594225 + ... + 803535.

Almost surely, 2^146283271680 is an apocalyptic number.

146283271680 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 146283271680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (287785580544).

146283271680 is an abundant number, since it is smaller than the sum of its proper divisors (429287889408).

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

146283271680 is a wasteful number, since it uses less digits than its factorization.

146283271680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 209357 (or 209341 counting only the distinct ones).

The product of its (nonzero) digits is 774144, while the sum is 48.

The spelling of 146283271680 in words is "one hundred forty-six billion, two hundred eighty-three million, two hundred seventy-one thousand, six hundred eighty".