2223742148361 has 24 divisors (see below), whose sum is σ = 3224398284744. Its totient is φ = 1476815535360.

The previous prime is 2223742148351. The next prime is 2223742148387. The reversal of 2223742148361 is 1638412473222.

2223742148361 is a `hidden beast` number, since 2 + 2 + 2 + 3 + 74 + 214 + 8 + 361 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 56425251600 + 2167316896761 = 237540^2 + 1472181^2 .

It is not a de Polignac number, because 2223742148361 - 2²² = 2223737954057 is a prime.

It is not an unprimeable number, because it can be changed into a prime (2223742148351) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2310135 + ... + 3127971.

It is an arithmetic number, because the mean of its divisors is an integer number (134349928531).

Almost surely, 2^{2223742148361} is an apocalyptic number.

It is an amenable number.

2223742148361 is a deficient number, since it is larger than the sum of its proper divisors (1000656136383).

2223742148361 is a wasteful number, since it uses less digits than its factorization.

2223742148361 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 819001 (or 818998 counting only the distinct ones).

The product of its digits is 774144, while the sum is 45.

The spelling of 2223742148361 in words is "two trillion, two hundred twenty-three billion, seven hundred forty-two million, one hundred forty-eight thousand, three hundred sixty-one".