63442355324436 has 192 divisors, whose sum is σ = 182405378641920. Its totient is φ = 18906585840000.

The previous prime is 63442355324431. The next prime is 63442355324461.

It is a happy number.

63442355324436 is a `hidden beast` number, since 6 + 3 + 4 + 4 + 2 + 35 + 532 + 44 + 36 = 666.

63442355324436 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×63442355324436² (a number of 28 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (63442355324431) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 445679505 + ... + 445821831.

It is an arithmetic number, because the mean of its divisors is an integer number (950028013760).

Almost surely, 2^{63442355324436} is an apocalyptic number.

63442355324436 is a gapful number since it is divisible by the number (66) 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 63442355324436, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91202689320960).

63442355324436 is an abundant number, since it is smaller than the sum of its proper divisors (118963023317484).

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

63442355324436 is a wasteful number, since it uses less digits than its factorization.

63442355324436 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 148563 (or 148555 counting only the distinct ones).

The product of its digits is 74649600, while the sum is 54.

The spelling of 63442355324436 in words is "sixty-three trillion, four hundred forty-two billion, three hundred fifty-five million, three hundred twenty-four thousand, four hundred thirty-six".