1642241145048 has 384 divisors, whose sum is σ = 4987599091200. Its totient is φ = 441151764480.

The previous prime is 1642241145047. The next prime is 1642241145107. The reversal of 1642241145048 is 8405411422461.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1642241145047) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1589777940 + ... + 1589778972.

It is an arithmetic number, because the mean of its divisors is an integer number (12988539300).

Almost surely, 2^{1642241145048} 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 1642241145048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2493799545600).

1642241145048 is an abundant number, since it is smaller than the sum of its proper divisors (3345357946152).

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

1642241145048 is a wasteful number, since it uses less digits than its factorization.

1642241145048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1383 (or 1348 counting only the distinct ones).

The product of its (nonzero) digits is 245760, while the sum is 42.

The spelling of 1642241145048 in words is "one trillion, six hundred forty-two billion, two hundred forty-one million, one hundred forty-five thousand, forty-eight".