10049103648 has 288 divisors, whose sum is σ = 33038591040. Its totient is φ = 2985984000.

The previous prime is 10049103643. The next prime is 10049103683. The reversal of 10049103648 is 84630194001.

10049103648 is a `hidden beast` number, since 1 + 0 + 0 + 4 + 9 + 1 + 0 + 3 + 648 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (10049103643) 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, 2509648 + ... + 2513648.

It is an arithmetic number, because the mean of its divisors is an integer number (114717330).

Almost surely, 2^10049103648 is an apocalyptic number.

10049103648 is a gapful number since it is divisible by the number (18) 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 10049103648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16519295520).

10049103648 is an abundant number, since it is smaller than the sum of its proper divisors (22989487392).

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

10049103648 is a wasteful number, since it uses less digits than its factorization.

10049103648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4062 (or 4042 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

Adding to 10049103648 its reverse (84630194001), we get a palindrome (94679297649).

The spelling of 10049103648 in words is "ten billion, forty-nine million, one hundred three thousand, six hundred forty-eight".