362493072121 has 8 divisors (see below), whose sum is σ = 367249661064. Its totient is φ = 357767072640.

The previous prime is 362493072047. The next prime is 362493072191. The reversal of 362493072121 is 121270394263.

It can be written as a sum of positive squares in 4 ways, for example, as 168707347600 + 193785724521 = 410740^2 + 440211^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 362493072121 - 2¹³ = 362493063929 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (362493072191) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 7623510 + ... + 7670911.

It is an arithmetic number, because the mean of its divisors is an integer number (45906207633).

Almost surely, 2^362493072121 is an apocalyptic number.

It is an amenable number.

362493072121 is a deficient number, since it is larger than the sum of its proper divisors (4756588943).

362493072121 is a wasteful number, since it uses less digits than its factorization.

362493072121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15294731.

The product of its (nonzero) digits is 108864, while the sum is 40.

The spelling of 362493072121 in words is "three hundred sixty-two billion, four hundred ninety-three million, seventy-two thousand, one hundred twenty-one".