145821592464 has 80 divisors (see below), whose sum is σ = 399058476480. Its totient is φ = 45755573760.

The previous prime is 145821592459. The next prime is 145821592471. The reversal of 145821592464 is 464295128541.

145821592464 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (51) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 366027 + ... + 652394.

It is an arithmetic number, because the mean of its divisors is an integer number (4988230956).

Almost surely, 2^145821592464 is an apocalyptic number.

It is an amenable number.

145821592464 is an abundant number, since it is smaller than the sum of its proper divisors (253236884016).

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

145821592464 is a wasteful number, since it uses less digits than its factorization.

145821592464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1018608 (or 1018602 counting only the distinct ones).

The product of its digits is 2764800, while the sum is 51.

The spelling of 145821592464 in words is "one hundred forty-five billion, eight hundred twenty-one million, five hundred ninety-two thousand, four hundred sixty-four".