146002213216413 has 12 divisors (see below), whose sum is σ = 210992558431200. Its totient is φ = 97288436807496.

The previous prime is 146002213216369. The next prime is 146002213216427. The reversal of 146002213216413 is 314612312200641.

146002213216413 is a `hidden beast` number, since 1 + 4 + 6 + 0 + 0 + 2 + 2 + 1 + 3 + 2 + 1 + 641 + 3 = 666.

It is not a de Polignac number, because 146002213216413 - 2⁴¹ = 143803189960861 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (146002213212413) 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, 3864313681 + ... + 3864351462.

It is an arithmetic number, because the mean of its divisors is an integer number (17582713202600).

Almost surely, 2^{146002213216413} is an apocalyptic number.

It is an amenable number.

146002213216413 is a deficient number, since it is larger than the sum of its proper divisors (64990345214787).

146002213216413 is a wasteful number, since it uses less digits than its factorization.

146002213216413 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7728667248 (or 7728667245 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The spelling of 146002213216413 in words is "one hundred forty-six trillion, two billion, two hundred thirteen million, two hundred sixteen thousand, four hundred thirteen".