146865009151413 has 48 divisors (see below), whose sum is σ = 243323950886016. Its totient is φ = 83618406518400.

The previous prime is 146865009151381. The next prime is 146865009151451. The reversal of 146865009151413 is 314151900568641.

146865009151413 is a `hidden beast` number, since 1 + 4 + 6 + 8 + 6 + 500 + 91 + 5 + 1 + 41 + 3 = 666.

146865009151413 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 146865009151413 - 2⁵ = 146865009151381 is a prime.

It is a super-3 number, since 3×146865009151413³ (a number of 43 digits) contains 333 as substring.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 146865009151413.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (146865009151313) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 50675463 + ... + 53495163.

It is an arithmetic number, because the mean of its divisors is an integer number (5069248976792).

Almost surely, 2^{146865009151413} is an apocalyptic number.

It is an amenable number.

146865009151413 is a deficient number, since it is larger than the sum of its proper divisors (96458941734603).

146865009151413 is a wasteful number, since it uses less digits than its factorization.

146865009151413 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2822714 (or 2822711 counting only the distinct ones).

The product of its (nonzero) digits is 3110400, while the sum is 54.

The spelling of 146865009151413 in words is "one hundred forty-six trillion, eight hundred sixty-five billion, nine million, one hundred fifty-one thousand, four hundred thirteen".