2146153006413 has 12 divisors (see below), whose sum is σ = 3338460232380. Its totient is φ = 1320709542336.

The previous prime is 2146153006379. The next prime is 2146153006421. The reversal of 2146153006413 is 3146003516412.

2146153006413 is a `hidden beast` number, since 2 + 1 + 4 + 6 + 1 + 5 + 3 + 0 + 0 + 641 + 3 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1318174941924 + 827978064489 = 1148118^2 + 909933^2 .

It is not a de Polignac number, because 2146153006413 - 2⁸ = 2146153006157 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2146153006453) 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 11 ways as a sum of consecutive naturals, for example, 9171593928 + ... + 9171594161.

It is an arithmetic number, because the mean of its divisors is an integer number (278205019365).

Almost surely, 2^{2146153006413} is an apocalyptic number.

It is an amenable number.

2146153006413 is a deficient number, since it is larger than the sum of its proper divisors (1192307225967).

2146153006413 is a wasteful number, since it uses less digits than its factorization.

2146153006413 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18343188108 (or 18343188105 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The spelling of 2146153006413 in words is "two trillion, one hundred forty-six billion, one hundred fifty-three million, six thousand, four hundred thirteen".