146162465344 has 63 divisors (see below), whose sum is σ = 337444225923. Its totient is φ = 62631881088.

The previous prime is 146162465321. The next prime is 146162465399. The reversal of 146162465344 is 443564261641.

The square root of 146162465344 is 382312.

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

It is a super-3 number, since 3×146162465344³ (a number of 34 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 146162465294 and 146162465303.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 21406059 + ... + 21412885.

Almost surely, 2^146162465344 is an apocalyptic number.

146162465344 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

146162465344 is the 382312-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 146162465344

146162465344 is an abundant number, since it is smaller than the sum of its proper divisors (191281760579).

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

146162465344 is an frugal number, since it uses more digits than its factorization.

146162465344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13680 (or 6836 counting only the distinct ones).

The product of its digits is 1658880, while the sum is 46.

The spelling of 146162465344 in words is "one hundred forty-six billion, one hundred sixty-two million, four hundred sixty-five thousand, three hundred forty-four".