11246535216 has 240 divisors, whose sum is σ = 37718014464. Its totient is φ = 3058615296.

The previous prime is 11246535199. The next prime is 11246535227. The reversal of 11246535216 is 61253564211.

11246535216 is a `hidden beast` number, since 1 + 124 + 6 + 5 + 3 + 521 + 6 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5261700 + ... + 5263836.

Almost surely, 2^11246535216 is an apocalyptic number.

11246535216 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 11246535216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18859007232).

11246535216 is an abundant number, since it is smaller than the sum of its proper divisors (26471479248).

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

11246535216 is a wasteful number, since it uses less digits than its factorization.

11246535216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2408 (or 2399 counting only the distinct ones).

The product of its digits is 43200, while the sum is 36.

The spelling of 11246535216 in words is "eleven billion, two hundred forty-six million, five hundred thirty-five thousand, two hundred sixteen".