11185742016 has 336 divisors, whose sum is σ = 35064862560. Its totient is φ = 3397386240.

The previous prime is 11185742003. The next prime is 11185742027. The reversal of 11185742016 is 61024758111.

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

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, 43524160 + ... + 43524416.

It is an arithmetic number, because the mean of its divisors is an integer number (104359710).

Almost surely, 2^11185742016 is an apocalyptic number.

11185742016 is a gapful number since it is divisible by the number (16) 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 11185742016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17532431280).

11185742016 is an abundant number, since it is smaller than the sum of its proper divisors (23879120544).

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

11185742016 is a wasteful number, since it uses less digits than its factorization.

11185742016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 432 (or 419 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 36.

11185742016 divided by its sum of digits (36) gives a triangular number (310715056 = T₂₄₉₂₈).

The spelling of 11185742016 in words is "eleven billion, one hundred eighty-five million, seven hundred forty-two thousand, sixteen".