11345128704 has 576 divisors, whose sum is σ = 43761876480. Its totient is φ = 2813460480.

The previous prime is 11345128679. The next prime is 11345128733. The reversal of 11345128704 is 40782154311.

11345128704 is a `hidden beast` number, since 1 + 134 + 512 + 8 + 7 + 0 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

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 pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 10692334 + ... + 10693394.

It is an arithmetic number, because the mean of its divisors is an integer number (75975480).

Almost surely, 2^11345128704 is an apocalyptic number.

11345128704 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 11345128704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21880938240).

11345128704 is an abundant number, since it is smaller than the sum of its proper divisors (32416747776).

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

11345128704 is a wasteful number, since it uses less digits than its factorization.

11345128704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1123 (or 1103 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The spelling of 11345128704 in words is "eleven billion, three hundred forty-five million, one hundred twenty-eight thousand, seven hundred four".