6146040406416 has 80 divisors (see below), whose sum is σ = 16715934992640. Its totient is φ = 1940504376960.

The previous prime is 6146040406411. The next prime is 6146040406433.

6146040406416 is nontrivially palindromic in base 10.

It is not an unprimeable number, because it can be changed into a prime (6146040406411) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4467751 + ... + 5679161.

It is an arithmetic number, because the mean of its divisors is an integer number (208949187408).

Almost surely, 2^{6146040406416} is an apocalyptic number.

It is an amenable number.

6146040406416 is an abundant number, since it is smaller than the sum of its proper divisors (10569894586224).

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

6146040406416 is a wasteful number, since it uses less digits than its factorization.

6146040406416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1217004 (or 1216998 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 42.

The spelling of 6146040406416 in words is "six trillion, one hundred forty-six billion, forty million, four hundred six thousand, four hundred sixteen".