11498148000 has 288 divisors, whose sum is σ = 42127368192. Its totient is φ = 2966976000.

The previous prime is 11498147987. The next prime is 11498148023. The reversal of 11498148000 is 84189411.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1110849 + ... + 1121151.

It is an arithmetic number, because the mean of its divisors is an integer number (146275584).

Almost surely, 2^11498148000 is an apocalyptic number.

11498148000 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 11498148000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21063684096).

11498148000 is an abundant number, since it is smaller than the sum of its proper divisors (30629220192).

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

11498148000 is a wasteful number, since it uses less digits than its factorization.

11498148000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10365 (or 10344 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 36.

The spelling of 11498148000 in words is "eleven billion, four hundred ninety-eight million, one hundred forty-eight thousand".