64034441343100 has 144 divisors (see below), whose sum is σ = 151042912634880. Its totient is φ = 23474140934400.

The previous prime is 64034441343083. The next prime is 64034441343101. The reversal of 64034441343100 is 134314443046.

It is a super-2 number, since 2×64034441343100² (a number of 28 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 64034441343100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (64034441343101) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 158415849 + ... + 158819551.

It is an arithmetic number, because the mean of its divisors is an integer number (1048909115520).

Almost surely, 2^{64034441343100} 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 64034441343100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75521456317440).

64034441343100 is an abundant number, since it is smaller than the sum of its proper divisors (87008471291780).

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

64034441343100 is a wasteful number, since it uses less digits than its factorization.

64034441343100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 406460 (or 406453 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 37.

Adding to 64034441343100 its reverse (134314443046), we get a palindrome (64168755786146).

The spelling of 64034441343100 in words is "sixty-four trillion, thirty-four billion, four hundred forty-one million, three hundred forty-three thousand, one hundred".