13960106496 has 480 divisors, whose sum is σ = 49679106048. Its totient is φ = 3686031360.

The previous prime is 13960106483. The next prime is 13960106543. The reversal of 13960106496 is 69460106931.

13960106496 is a `hidden beast` number, since 1 + 39 + 601 + 0 + 6 + 4 + 9 + 6 = 666.

It is a super-2 number, since 2×13960106496² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 22998225 + ... + 22998831.

Almost surely, 2^13960106496 is an apocalyptic number.

13960106496 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 13960106496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24839553024).

13960106496 is an abundant number, since it is smaller than the sum of its proper divisors (35718999552).

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

13960106496 is a wasteful number, since it uses less digits than its factorization.

13960106496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 692 (or 673 counting only the distinct ones).

The product of its (nonzero) digits is 209952, while the sum is 45.

The spelling of 13960106496 in words is "thirteen billion, nine hundred sixty million, one hundred six thousand, four hundred ninety-six".