20434614448192 has 112 divisors (see below), whose sum is σ = 47859039907840. Its totient is φ = 8471407680000.

The previous prime is 20434614448177. The next prime is 20434614448201. The reversal of 20434614448192 is 29184441643402.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (112).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 30935059 + ... + 31588717.

It is an arithmetic number, because the mean of its divisors is an integer number (427312856320).

Almost surely, 2^{20434614448192} 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 20434614448192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23929519953920).

20434614448192 is an abundant number, since it is smaller than the sum of its proper divisors (27424425459648).

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

20434614448192 is a wasteful number, since it uses less digits than its factorization.

20434614448192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 655960 (or 655950 counting only the distinct ones).

The product of its (nonzero) digits is 5308416, while the sum is 52.

The spelling of 20434614448192 in words is "twenty trillion, four hundred thirty-four billion, six hundred fourteen million, four hundred forty-eight thousand, one hundred ninety-two".