13537706112 has 384 divisors, whose sum is σ = 47258640000. Its totient is φ = 3633610752.

The previous prime is 13537706111. The next prime is 13537706123. The reversal of 13537706112 is 21160773531.

13537706112 is a `hidden beast` number, since 1 + 3 + 5 + 37 + 7 + 0 + 611 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

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

It is not an unprimeable number, because it can be changed into a prime (13537706111) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 22828888 + ... + 22829480.

It is an arithmetic number, because the mean of its divisors is an integer number (123069375).

Almost surely, 2^13537706112 is an apocalyptic number.

13537706112 is a gapful number since it is divisible by the number (12) 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 13537706112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23629320000).

13537706112 is an abundant number, since it is smaller than the sum of its proper divisors (33720933888).

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

13537706112 is a wasteful number, since it uses less digits than its factorization.

13537706112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 788 (or 773 counting only the distinct ones).

The product of its (nonzero) digits is 26460, while the sum is 36.

The spelling of 13537706112 in words is "thirteen billion, five hundred thirty-seven million, seven hundred six thousand, one hundred twelve".