8254145618901 has 48 divisors (see below), whose sum is σ = 14724119120256. Its totient is φ = 4338975420288.

The previous prime is 8254145618867. The next prime is 8254145618933. The reversal of 8254145618901 is 1098165414528.

8254145618901 is a `hidden beast` number, since 8 + 2 + 5 + 4 + 1 + 456 + 189 + 0 + 1 = 666.

It is not a de Polignac number, because 8254145618901 - 2¹⁸ = 8254145356757 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8254145618501) 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 47 ways as a sum of consecutive naturals, for example, 16958535 + ... + 17438468.

It is an arithmetic number, because the mean of its divisors is an integer number (306752481672).

Almost surely, 2^{8254145618901} is an apocalyptic number.

It is an amenable number.

8254145618901 is a deficient number, since it is larger than the sum of its proper divisors (6469973501355).

8254145618901 is a wasteful number, since it uses less digits than its factorization.

8254145618901 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34397322 (or 34397319 counting only the distinct ones).

The product of its (nonzero) digits is 2764800, while the sum is 54.

The spelling of 8254145618901 in words is "eight trillion, two hundred fifty-four billion, one hundred forty-five million, six hundred eighteen thousand, nine hundred one".