11345016144 has 240 divisors, whose sum is σ = 37052378496. Its totient is φ = 2927907840.

The previous prime is 11345016101. The next prime is 11345016161. The reversal of 11345016144 is 44161054311.

It is a congruent number.

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, 7032682 + ... + 7034294.

Almost surely, 2^11345016144 is an apocalyptic number.

11345016144 is a gapful number since it is divisible by the number (14) 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 11345016144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18526189248).

11345016144 is an abundant number, since it is smaller than the sum of its proper divisors (25707362352).

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

11345016144 is a wasteful number, since it uses less digits than its factorization.

11345016144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1826 (or 1809 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 30.

The spelling of 11345016144 in words is "eleven billion, three hundred forty-five million, sixteen thousand, one hundred forty-four".