42818612249952 has 1728 divisors, whose sum is σ = 173762581224960. Its totient is φ = 10105784156160.

The previous prime is 42818612249947. The next prime is 42818612249953. The reversal of 42818612249952 is 25994221681824.

42818612249952 is a `hidden beast` number, since 4 + 2 + 8 + 1 + 8 + 612 + 2 + 4 + 9 + 9 + 5 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a self number, because there is not a number n which added to its sum of digits gives 42818612249952.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42818612249953) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 3247025503 + ... + 3247038689.

It is an arithmetic number, because the mean of its divisors is an integer number (100557049320).

Almost surely, 2^{42818612249952} is an apocalyptic number.

42818612249952 is a gapful number since it is divisible by the number (42) 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 42818612249952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86881290612480).

42818612249952 is an abundant number, since it is smaller than the sum of its proper divisors (130943968975008).

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

42818612249952 is a wasteful number, since it uses less digits than its factorization.

42818612249952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13287 (or 13256 counting only the distinct ones).

The product of its digits is 39813120, while the sum is 63.

The spelling of 42818612249952 in words is "forty-two trillion, eight hundred eighteen billion, six hundred twelve million, two hundred forty-nine thousand, nine hundred fifty-two".