11148938148900 has 36 divisors (see below), whose sum is σ = 32257594378352. Its totient is φ = 2973050172960.

The previous prime is 11148938148893. The next prime is 11148938148917. The reversal of 11148938148900 is 984183984111.

11148938148900 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (57) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 18581563282 + ... + 18581563881.

Almost surely, 2^{11148938148900} is an apocalyptic number.

11148938148900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11148938148900 is an abundant number, since it is smaller than the sum of its proper divisors (21108656229452).

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

11148938148900 is a wasteful number, since it uses less digits than its factorization.

11148938148900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37163127180 (or 37163127173 counting only the distinct ones).

The product of its (nonzero) digits is 1990656, while the sum is 57.

The spelling of 11148938148900 in words is "eleven trillion, one hundred forty-eight billion, nine hundred thirty-eight million, one hundred forty-eight thousand, nine hundred".