11816414016 has 112 divisors (see below), whose sum is σ = 34211532288. Its totient is φ = 3569702400.

The previous prime is 11816413993. The next prime is 11816414021. The reversal of 11816414016 is 61041461811.

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 690621 + ... + 707523.

Almost surely, 2^11816414016 is an apocalyptic number.

11816414016 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 11816414016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17105766144).

11816414016 is an abundant number, since it is smaller than the sum of its proper divisors (22395118272).

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

11816414016 is a wasteful number, since it uses less digits than its factorization.

11816414016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17260 (or 17250 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 33.

Adding to 11816414016 its reverse (61041461811), we get a palindrome (72857875827).

The spelling of 11816414016 in words is "eleven billion, eight hundred sixteen million, four hundred fourteen thousand, sixteen".