42353189412864 has 672 divisors, whose sum is σ = 134889223418880. Its totient is φ = 11766104064000.

The previous prime is 42353189412847. The next prime is 42353189412893. The reversal of 42353189412864 is 46821498135324.

It is a junction number, because it is equal to n+sod(n) for n = 42353189412798 and 42353189412807.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1751494854 + ... + 1751519034.

It is an arithmetic number, because the mean of its divisors is an integer number (200728011040).

Almost surely, 2^{42353189412864} is an apocalyptic number.

42353189412864 is a gapful number since it is divisible by the number (44) 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 42353189412864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67444611709440).

42353189412864 is an abundant number, since it is smaller than the sum of its proper divisors (92536034006016).

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

42353189412864 is a wasteful number, since it uses less digits than its factorization.

42353189412864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24282 (or 24247 counting only the distinct ones).

The product of its digits is 39813120, while the sum is 60.

The spelling of 42353189412864 in words is "forty-two trillion, three hundred fifty-three billion, one hundred eighty-nine million, four hundred twelve thousand, eight hundred sixty-four".