148341292801 has 45 divisors (see below), whose sum is σ = 167689669119. Its totient is φ = 131222486304.

The previous prime is 148341292789. The next prime is 148341292819. The reversal of 148341292801 is 108292143841.

The square root of 148341292801 is 385151.

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

It can be written as a sum of positive squares in 7 ways, for example, as 140433815025 + 7907477776 = 374745^2 + 88924^2 .

It is not a de Polignac number, because 148341292801 - 2⁹ = 148341292289 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (43).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (148341292831) by changing a digit.

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 44 ways as a sum of consecutive naturals, for example, 2798892291 + ... + 2798892343.

Almost surely, 2^148341292801 is an apocalyptic number.

148341292801 is the 385151-st square number.

148341292801 is the 192576-th centered octagonal number.

It is an amenable number.

148341292801 is a deficient number, since it is larger than the sum of its proper divisors (19348376318).

148341292801 is an frugal number, since it uses more digits than its factorization.

148341292801 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 244 (or 109 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 43.

The spelling of 148341292801 in words is "one hundred forty-eight billion, three hundred forty-one million, two hundred ninety-two thousand, eight hundred one".