11148915600 has 120 divisors (see below), whose sum is σ = 39681919520. Its totient is φ = 2973041280.

The previous prime is 11148915581. The next prime is 11148915607. The reversal of 11148915600 is 651984111.

It is a happy number.

11148915600 is a `hidden beast` number, since 1 + 1 + 1 + 4 + 8 + 91 + 560 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

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 (11148915607) 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, 505354 + ... + 526953.

Almost surely, 2^11148915600 is an apocalyptic number.

11148915600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11148915600 is an abundant number, since it is smaller than the sum of its proper divisors (28533003920).

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

11148915600 is a wasteful number, since it uses less digits than its factorization.

11148915600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1032334 (or 1032317 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 36.

The spelling of 11148915600 in words is "eleven billion, one hundred forty-eight million, nine hundred fifteen thousand, six hundred".