11467998144 has 252 divisors, whose sum is σ = 35274552768. Its totient is φ = 3695155200.

The previous prime is 11467998137. The next prime is 11467998149. The reversal of 11467998144 is 44189976411.

It is a happy number.

11467998144 is a `hidden beast` number, since 11 + 467 + 99 + 81 + 4 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11467998149) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 13016584 + ... + 13017464.

It is an arithmetic number, because the mean of its divisors is an integer number (139978384).

Almost surely, 2^11467998144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11467998144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17637276384).

11467998144 is an abundant number, since it is smaller than the sum of its proper divisors (23806554624).

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

11467998144 is an frugal number, since it uses more digits than its factorization.

11467998144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 948 (or 917 counting only the distinct ones).

The product of its digits is 1741824, while the sum is 54.

The spelling of 11467998144 in words is "eleven billion, four hundred sixty-seven million, nine hundred ninety-eight thousand, one hundred forty-four".