6145141640832 has 48 divisors (see below), whose sum is σ = 17683285193730. Its totient is φ = 2048380546560.

The previous prime is 6145141640791. The next prime is 6145141640849. The reversal of 6145141640832 is 2380461415416.

6145141640832 is a `hidden beast` number, since 6 + 1 + 4 + 514 + 16 + 40 + 83 + 2 = 666.

It can be written as a sum of positive squares in only one way, i.e., 5214719347776 + 930422293056 = 2283576^2 + 964584^2 .

It is a tau number, because it is divible by the number of its divisors (48).

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 2667161019 + ... + 2667163322.

Almost surely, 2^{6145141640832} is an apocalyptic number.

It is an amenable number.

6145141640832 is an abundant number, since it is smaller than the sum of its proper divisors (11538143552898).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

6145141640832 is a wasteful number, since it uses less digits than its factorization.

6145141640832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5334324361 (or 5334324346 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The spelling of 6145141640832 in words is "six trillion, one hundred forty-five billion, one hundred forty-one million, six hundred forty thousand, eight hundred thirty-two".