10034036544 has 168 divisors, whose sum is σ = 31407994080. Its totient is φ = 2818120704.

The previous prime is 10034036543. The next prime is 10034036563. The reversal of 10034036544 is 44563043001.

It is a tau number, because it is divible by the number of its divisors (168).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10034036543) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 546034 + ... + 564110.

Almost surely, 2^10034036544 is an apocalyptic number.

10034036544 is a gapful number since it is divisible by the number (14) 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 10034036544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15703997040).

10034036544 is an abundant number, since it is smaller than the sum of its proper divisors (21373957536).

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

10034036544 is a wasteful number, since it uses less digits than its factorization.

10034036544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18165 (or 18148 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 30.

Adding to 10034036544 its reverse (44563043001), we get a palindrome (54597079545).

The spelling of 10034036544 in words is "ten billion, thirty-four million, thirty-six thousand, five hundred forty-four".