146644316431060 has 192 divisors, whose sum is σ = 365443959121920. Its totient is φ = 48386833920000.

The previous prime is 146644316431057. The next prime is 146644316431061. The reversal of 146644316431060 is 60134613446641.

It is a junction number, because it is equal to n+sod(n) for n = 146644316430995 and 146644316431013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (146644316431061) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 156642846 + ... + 157576234.

It is an arithmetic number, because the mean of its divisors is an integer number (1903353953760).

Almost surely, 2^{146644316431060} is an apocalyptic number.

146644316431060 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 146644316431060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182721979560960).

146644316431060 is an abundant number, since it is smaller than the sum of its proper divisors (218799642690860).

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

146644316431060 is a wasteful number, since it uses less digits than its factorization.

146644316431060 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 933818 (or 933816 counting only the distinct ones).

The product of its (nonzero) digits is 2985984, while the sum is 49.

The spelling of 146644316431060 in words is "one hundred forty-six trillion, six hundred forty-four billion, three hundred sixteen million, four hundred thirty-one thousand, sixty".