11436154382016 has 2688 divisors, whose sum is σ = 47171909191680. Its totient is φ = 2660726734848.

The previous prime is 11436154381943. The next prime is 11436154382017. The reversal of 11436154382016 is 61028345163411.

It is a happy number.

11436154382016 is a `hidden beast` number, since 1 + 1 + 4 + 3 + 6 + 1 + 5 + 438 + 201 + 6 = 666.

It is not an unprimeable number, because it can be changed into a prime (11436154382017) by changing a digit.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 25815246691 + ... + 25815247133.

It is an arithmetic number, because the mean of its divisors is an integer number (17549073360).

Almost surely, 2^{11436154382016} is an apocalyptic number.

11436154382016 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 11436154382016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23585954595840).

11436154382016 is an abundant number, since it is smaller than the sum of its proper divisors (35735754809664).

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

11436154382016 is a wasteful number, since it uses less digits than its factorization.

11436154382016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 573 (or 551 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The spelling of 11436154382016 in words is "eleven trillion, four hundred thirty-six billion, one hundred fifty-four million, three hundred eighty-two thousand, sixteen".