6446414204112 has 160 divisors (see below), whose sum is σ = 17711119058688. Its totient is φ = 2013435977728.

The previous prime is 6446414204107. The next prime is 6446414204117. The reversal of 6446414204112 is 2114024146446.

It is an interprime number because it is at equal distance from previous prime (6446414204107) and next prime (6446414204117).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6446414204117) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 371906998 + ... + 371924330.

Almost surely, 2^{6446414204112} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6446414204112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8855559529344).

6446414204112 is an abundant number, since it is smaller than the sum of its proper divisors (11264704854576).

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

6446414204112 is a wasteful number, since it uses less digits than its factorization.

6446414204112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19357 (or 19351 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 39.

The spelling of 6446414204112 in words is "six trillion, four hundred forty-six billion, four hundred fourteen million, two hundred four thousand, one hundred twelve".