5414638364145 has 256 divisors, whose sum is σ = 10129446835200. Its totient is φ = 2742018048000.

The previous prime is 5414638364129. The next prime is 5414638364183.

5414638364145 is a `hidden beast` number, since 5 + 4 + 1 + 463 + 8 + 36 + 4 + 145 = 666.

5414638364145 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 5414638364145 - 2⁴ = 5414638364129 is a prime.

It is a super-2 number, since 2×5414638364145² (a number of 26 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 5414638364091 and 5414638364100.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 11745419215 + ... + 11745419675.

It is an arithmetic number, because the mean of its divisors is an integer number (39568151700).

Almost surely, 2^{5414638364145} is an apocalyptic number.

It is an amenable number.

5414638364145 is a deficient number, since it is larger than the sum of its proper divisors (4714808471055).

5414638364145 is a wasteful number, since it uses less digits than its factorization.

5414638364145 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 929 (or 923 counting only the distinct ones).

The product of its digits is 16588800, while the sum is 54.

The spelling of 5414638364145 in words is "five trillion, four hundred fourteen billion, six hundred thirty-eight million, three hundred sixty-four thousand, one hundred forty-five".