11298463200 has 360 divisors, whose sum is σ = 41594869008. Its totient is φ = 2984325120.

The previous prime is 11298463199. The next prime is 11298463219. The reversal of 11298463200 is 236489211.

11298463200 is a `hidden beast` number, since 1 + 1 + 298 + 46 + 320 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

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 59 ways as a sum of consecutive naturals, for example, 7321629 + ... + 7323171.

Almost surely, 2^11298463200 is an apocalyptic number.

11298463200 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 11298463200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20797434504).

11298463200 is an abundant number, since it is smaller than the sum of its proper divisors (30296405808).

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

11298463200 is a wasteful number, since it uses less digits than its factorization.

11298463200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1688 (or 1666 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The spelling of 11298463200 in words is "eleven billion, two hundred ninety-eight million, four hundred sixty-three thousand, two hundred".