145864414084 has 81 divisors (see below), whose sum is σ = 278217656773. Its totient is φ = 66900512896.

The previous prime is 145864414027. The next prime is 145864414097. The reversal of 145864414084 is 480414468541.

The square root of 145864414084 is 381922.

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., 113562260100 + 32302153984 = 336990^2 + 179728^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 610311237 + ... + 610311475.

Almost surely, 2^145864414084 is an apocalyptic number.

145864414084 is the 381922-nd square number.

It is an amenable number.

145864414084 is a deficient number, since it is larger than the sum of its proper divisors (132353242689).

145864414084 is an equidigital number, since it uses as much as digits as its factorization.

145864414084 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 610 (or 305 counting only the distinct ones).

The product of its (nonzero) digits is 1966080, while the sum is 49.

Multiplying 145864414084 by its sum of digits (49), we get a square (7147356290116 = 2673454²).

The spelling of 145864414084 in words is "one hundred forty-five billion, eight hundred sixty-four million, four hundred fourteen thousand, eighty-four".