42173218371648 has 672 divisors, whose sum is σ = 147212605142400. Its totient is φ = 10532210540544.

The previous prime is 42173218371601. The next prime is 42173218371727. The reversal of 42173218371648 is 84617381237124.

42173218371648 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (57).

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 8590997418 + ... + 8591002326.

It is an arithmetic number, because the mean of its divisors is an integer number (219066376700).

Almost surely, 2^{42173218371648} is an apocalyptic number.

42173218371648 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42173218371648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73606302571200).

42173218371648 is an abundant number, since it is smaller than the sum of its proper divisors (105039386770752).

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

42173218371648 is a wasteful number, since it uses less digits than its factorization.

42173218371648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8667 (or 8650 counting only the distinct ones).

The product of its digits is 10838016, while the sum is 57.

The spelling of 42173218371648 in words is "forty-two trillion, one hundred seventy-three billion, two hundred eighteen million, three hundred seventy-one thousand, six hundred forty-eight".