19642575238144 has 176 divisors, whose sum is σ = 41632015697920. Its totient is φ = 9237081784320.

The previous prime is 19642575238141. The next prime is 19642575238151. The reversal of 19642575238144 is 44183257524691.

It is a super-2 number, since 2×19642575238144² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (19642575238141) 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, 4951491649 + ... + 4951495615.

Almost surely, 2^{19642575238144} 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 19642575238144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20816007848960).

19642575238144 is an abundant number, since it is smaller than the sum of its proper divisors (21989440459776).

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

19642575238144 is a wasteful number, since it uses less digits than its factorization.

19642575238144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5784 (or 5766 counting only the distinct ones).

The product of its digits is 58060800, while the sum is 61.

The spelling of 19642575238144 in words is "nineteen trillion, six hundred forty-two billion, five hundred seventy-five million, two hundred thirty-eight thousand, one hundred forty-four".