1642192288344 has 96 divisors (see below), whose sum is σ = 4478159312640. Its totient is φ = 543646118400.

The previous prime is 1642192288343. The next prime is 1642192288367. The reversal of 1642192288344 is 4438822912461.

1642192288344 is a `hidden beast` number, since 1 + 6 + 4 + 2 + 19 + 2 + 288 + 344 = 666.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1642192288343) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8388214 + ... + 8581754.

It is an arithmetic number, because the mean of its divisors is an integer number (46647492840).

Almost surely, 2^{1642192288344} 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 1642192288344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2239079656320).

1642192288344 is an abundant number, since it is smaller than the sum of its proper divisors (2835967024296).

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

1642192288344 is a wasteful number, since it uses less digits than its factorization.

1642192288344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 194361 (or 194354 counting only the distinct ones).

The product of its digits is 5308416, while the sum is 54.

The spelling of 1642192288344 in words is "one trillion, six hundred forty-two billion, one hundred ninety-two million, two hundred eighty-eight thousand, three hundred forty-four".