3923506043145 has 256 divisors, whose sum is σ = 7821904527360. Its totient is φ = 1853484595200.

The previous prime is 3923506043113. The next prime is 3923506043161. The reversal of 3923506043145 is 5413406053293.

3923506043145 is a `hidden beast` number, since 3 + 9 + 2 + 3 + 5 + 0 + 604 + 31 + 4 + 5 = 666.

It is not a de Polignac number, because 3923506043145 - 2⁵ = 3923506043113 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 3923506043145.

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, 3305396242 + ... + 3305397428.

It is an arithmetic number, because the mean of its divisors is an integer number (30554314560).

Almost surely, 2^{3923506043145} is an apocalyptic number.

It is an amenable number.

3923506043145 is a deficient number, since it is larger than the sum of its proper divisors (3898398484215).

3923506043145 is a wasteful number, since it uses less digits than its factorization.

3923506043145 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1973 (or 1967 counting only the distinct ones).

The product of its (nonzero) digits is 1166400, while the sum is 45.

The spelling of 3923506043145 in words is "three trillion, nine hundred twenty-three billion, five hundred six million, forty-three thousand, one hundred forty-five".