242309078001 has 81 divisors (see below), whose sum is σ = 371841124473. Its totient is φ = 152045871120.

The previous prime is 242309077919. The next prime is 242309078051. The reversal of 242309078001 is 100870903242.

The square root of 242309078001 is 492249.

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

It is not a de Polignac number, because 242309078001 - 2¹⁹ = 242308553713 is a prime.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (242309078051) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 3067203480 + ... + 3067203558.

Almost surely, 2^242309078001 is an apocalyptic number.

242309078001 is the 492249-th square number.

242309078001 is the 246125-th centered octagonal number.

It is an amenable number.

242309078001 is a deficient number, since it is larger than the sum of its proper divisors (129532046472).

242309078001 is an frugal number, since it uses more digits than its factorization.

242309078001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 360 (or 180 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

Multiplying 242309078001 by its sum of digits (36), we get a square (8723126808036 = 2953494²).

The spelling of 242309078001 in words is "two hundred forty-two billion, three hundred nine million, seventy-eight thousand, one".