13955690112 has 384 divisors, whose sum is σ = 47402680320. Its totient is φ = 3558297600.

The previous prime is 13955690053. The next prime is 13955690131. The reversal of 13955690112 is 21109655931.

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

It is a super-2 number, since 2×13955690112² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 14081937 + ... + 14082927.

It is an arithmetic number, because the mean of its divisors is an integer number (123444480).

Almost surely, 2^13955690112 is an apocalyptic number.

13955690112 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 13955690112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23701340160).

13955690112 is an abundant number, since it is smaller than the sum of its proper divisors (33446990208).

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

13955690112 is a wasteful number, since it uses less digits than its factorization.

13955690112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1072 (or 1047 counting only the distinct ones).

The product of its (nonzero) digits is 72900, while the sum is 42.

The spelling of 13955690112 in words is "thirteen billion, nine hundred fifty-five million, six hundred ninety thousand, one hundred twelve".