2623145414121 has 24 divisors (see below), whose sum is σ = 3801648090240. Its totient is φ = 1742921365536.

The previous prime is 2623145414119. The next prime is 2623145414143. The reversal of 2623145414121 is 1214145413262.

2623145414121 is a `hidden beast` number, since 2 + 6 + 231 + 4 + 5 + 4 + 1 + 412 + 1 = 666.

2623145414121 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 2623145414121 - 2¹ = 2623145414119 is a prime.

It is not an unprimeable number, because it can be changed into a prime (2623145414621) 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, 40415131 + ... + 40479983.

It is an arithmetic number, because the mean of its divisors is an integer number (158402003760).

Almost surely, 2^{2623145414121} is an apocalyptic number.

It is an amenable number.

2623145414121 is a deficient number, since it is larger than the sum of its proper divisors (1178502676119).

2623145414121 is a wasteful number, since it uses less digits than its factorization.

2623145414121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 79805 (or 79802 counting only the distinct ones).

The product of its digits is 46080, while the sum is 36.

The spelling of 2623145414121 in words is "two trillion, six hundred twenty-three billion, one hundred forty-five million, four hundred fourteen thousand, one hundred twenty-one".