11460870144 has 340 divisors, whose sum is σ = 36540497664. Its totient is φ = 3567255552.

The previous prime is 11460870107. The next prime is 11460870163. The reversal of 11460870144 is 44107806411.

11460870144 is a `hidden beast` number, since 1 + 1 + 4 + 608 + 7 + 0 + 1 + 44 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 11460870099 and 11460870108.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 90243009 + ... + 90243135.

Almost surely, 2^11460870144 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 11460870144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18270248832).

11460870144 is an abundant number, since it is smaller than the sum of its proper divisors (25079627520).

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

11460870144 is an frugal number, since it uses more digits than its factorization.

11460870144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 188 (or 149 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The spelling of 11460870144 in words is "eleven billion, four hundred sixty million, eight hundred seventy thousand, one hundred forty-four".