10001111100048 has 400 divisors, whose sum is σ = 31106776829040. Its totient is φ = 3090981814272.

The previous prime is 10001111100047. The next prime is 10001111100059. The reversal of 10001111100048 is 84000111110001.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 992757162384 + 9008353937664 = 996372^2 + 3001392^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a self number, because there is not a number n which added to its sum of digits gives 10001111100048.

It is not an unprimeable number, because it can be changed into a prime (10001111100047) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 543145690 + ... + 543164102.

Almost surely, 2^{10001111100048} is an apocalyptic number.

10001111100048 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 10001111100048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15553388414520).

10001111100048 is an abundant number, since it is smaller than the sum of its proper divisors (21105665728992).

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

10001111100048 is a wasteful number, since it uses less digits than its factorization.

10001111100048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18816 (or 18801 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 18.

Adding to 10001111100048 its reverse (84000111110001), we get a palindrome (94001222210049).

The spelling of 10001111100048 in words is "ten trillion, one billion, one hundred eleven million, one hundred thousand, forty-eight".