146165677350 has 384 divisors, whose sum is σ = 486825984000. Its totient is φ = 28112832000.

The previous prime is 146165677349. The next prime is 146165677351. The reversal of 146165677350 is 53776561641.

It is an interprime number because it is at equal distance from previous prime (146165677349) and next prime (146165677351).

It is a junction number, because it is equal to n+sod(n) for n = 146165677293 and 146165677302.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (146165677351) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 8226276 + ... + 8244024.

It is an arithmetic number, because the mean of its divisors is an integer number (1267776000).

Almost surely, 2^146165677350 is an apocalyptic number.

146165677350 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 146165677350, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (243412992000).

146165677350 is an abundant number, since it is smaller than the sum of its proper divisors (340660306650).

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

146165677350 is a wasteful number, since it uses less digits than its factorization.

146165677350 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17836 (or 17831 counting only the distinct ones).

The product of its (nonzero) digits is 3175200, while the sum is 51.

The spelling of 146165677350 in words is "one hundred forty-six billion, one hundred sixty-five million, six hundred seventy-seven thousand, three hundred fifty".