11148463800 has 144 divisors (see below), whose sum is σ = 38311227240. Its totient is φ = 2903765760.

The previous prime is 11148463771. The next prime is 11148463817. The reversal of 11148463800 is 836484111.

It is a happy number.

11148463800 is a `hidden beast` number, since 1 + 1 + 14 + 8 + 4 + 638 + 0 + 0 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 5382 + ... + 149418.

Almost surely, 2^11148463800 is an apocalyptic number.

11148463800 is a gapful number since it is divisible by the number (10) 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 11148463800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19155613620).

11148463800 is an abundant number, since it is smaller than the sum of its proper divisors (27162763440).

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

11148463800 is a wasteful number, since it uses less digits than its factorization.

11148463800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 144102 (or 144090 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The spelling of 11148463800 in words is "eleven billion, one hundred forty-eight million, four hundred sixty-three thousand, eight hundred".