146676744256 has 105 divisors (see below), whose sum is σ = 339899638589. Its totient is φ = 62797120512.

The previous prime is 146676744241. The next prime is 146676744257. The reversal of 146676744256 is 652447676641.

It is a happy number.

The square root of 146676744256 is 382984.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 137225793600 + 9450950656 = 370440^2 + 97216^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 146676744256.

It is not an unprimeable number, because it can be changed into a prime (146676744257) by changing a digit.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 150129240 + ... + 150130216.

Almost surely, 2^146676744256 is an apocalyptic number.

146676744256 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

146676744256 is the 382984-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 146676744256

146676744256 is an abundant number, since it is smaller than the sum of its proper divisors (193222894333).

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

146676744256 is an frugal number, since it uses more digits than its factorization.

146676744256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1994 (or 986 counting only the distinct ones).

The product of its digits is 40642560, while the sum is 58.

The spelling of 146676744256 in words is "one hundred forty-six billion, six hundred seventy-six million, seven hundred forty-four thousand, two hundred fifty-six".