11345078371116 has 192 divisors, whose sum is σ = 32381390684160. Its totient is φ = 3021683616000.

The previous prime is 11345078371093. The next prime is 11345078371127. The reversal of 11345078371116 is 61117387054311.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 32373111 + ... + 32721681.

It is an arithmetic number, because the mean of its divisors is an integer number (168653076480).

Almost surely, 2^{11345078371116} 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 11345078371116, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16190695342080).

11345078371116 is an abundant number, since it is smaller than the sum of its proper divisors (21036312313044).

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

11345078371116 is a wasteful number, since it uses less digits than its factorization.

11345078371116 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 349076 (or 349074 counting only the distinct ones).

The product of its (nonzero) digits is 423360, while the sum is 48.

The spelling of 11345078371116 in words is "eleven trillion, three hundred forty-five billion, seventy-eight million, three hundred seventy-one thousand, one hundred sixteen".