11101353984 has 288 divisors, whose sum is σ = 36966384000. Its totient is φ = 3143909376.

The previous prime is 11101353959. The next prime is 11101354003. The reversal of 11101353984 is 48935310111.

It is a happy number.

11101353984 is a `hidden beast` number, since 1 + 110 + 1 + 3 + 539 + 8 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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 polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 17934027 + ... + 17934645.

It is an arithmetic number, because the mean of its divisors is an integer number (128355500).

Almost surely, 2^11101353984 is an apocalyptic number.

11101353984 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 11101353984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18483192000).

11101353984 is an abundant number, since it is smaller than the sum of its proper divisors (25865030016).

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

11101353984 is a wasteful number, since it uses less digits than its factorization.

11101353984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 793 (or 770 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 36.

It can be divided in two parts, 11101 and 353984, that added together give a triangular number (365085 = T₈₅₄).

The spelling of 11101353984 in words is "eleven billion, one hundred one million, three hundred fifty-three thousand, nine hundred eighty-four".