2146400420164 has 96 divisors (see below), whose sum is σ = 5052350128896. Its totient is φ = 770545543680.

The previous prime is 2146400420159. The next prime is 2146400420237. The reversal of 2146400420164 is 4610240046412.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1749022 + ... + 2711434.

It is an arithmetic number, because the mean of its divisors is an integer number (52628647176).

Almost surely, 2^{2146400420164} 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 2146400420164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2526175064448).

2146400420164 is an abundant number, since it is smaller than the sum of its proper divisors (2905949708732).

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

2146400420164 is a wasteful number, since it uses less digits than its factorization.

2146400420164 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 963005 (or 963003 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 34.

Adding to 2146400420164 its reverse (4610240046412), we get a palindrome (6756640466576).

The spelling of 2146400420164 in words is "two trillion, one hundred forty-six billion, four hundred million, four hundred twenty thousand, one hundred sixty-four".