146413702623409 has 27 divisors (see below), whose sum is σ = 159977518722723. Its totient is φ = 133938819985152.

The previous prime is 146413702623359. The next prime is 146413702623413. The reversal of 146413702623409 is 904326207314641.

The square root of 146413702623409 is 12100153.

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

It can be written as a sum of positive squares in 13 ways, for example, as 144226048642225 + 2187653981184 = 12009415^2 + 1479072^2 .

It is not a de Polignac number, because 146413702623409 - 2³¹ = 146411555139761 is a prime.

It is not an unprimeable number, because it can be changed into a prime (146413702623449) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 17775120639 + ... + 17775128875.

Almost surely, 2^{146413702623409} is an apocalyptic number.

146413702623409 is the 12100153-rd square number.

146413702623409 is the 6050077-th centered octagonal number.

It is an amenable number.

146413702623409 is a deficient number, since it is larger than the sum of its proper divisors (13563816099314).

146413702623409 is an frugal number, since it uses more digits than its factorization.

146413702623409 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16726 (or 8363 counting only the distinct ones).

The product of its (nonzero) digits is 5225472, while the sum is 52.

The spelling of 146413702623409 in words is "one hundred forty-six trillion, four hundred thirteen billion, seven hundred two million, six hundred twenty-three thousand, four hundred nine".