1111001000148 has 72 divisors (see below), whose sum is σ = 3025192971528. Its totient is φ = 341755884288.

The previous prime is 1111001000147. The next prime is 1111001000173. The reversal of 1111001000148 is 8410001001111.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 12504159684 + 1098496840464 = 111822^2 + 1048092^2 .

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 1111001000148.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1111001000147) 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, 1464390 + ... + 2089602.

It is an arithmetic number, because the mean of its divisors is an integer number (42016569049).

Almost surely, 2^{1111001000148} is an apocalyptic number.

1111001000148 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

1111001000148 is an abundant number, since it is smaller than the sum of its proper divisors (1914191971380).

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

1111001000148 is a wasteful number, since it uses less digits than its factorization.

1111001000148 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 629033 (or 629028 counting only the distinct ones).

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

Adding to 1111001000148 its reverse (8410001001111), we get a palindrome (9521002001259).

The spelling of 1111001000148 in words is "one trillion, one hundred eleven billion, one million, one hundred forty-eight", and thus it is an aban number.