13952076336 has 360 divisors, whose sum is σ = 45527419392. Its totient is φ = 4131388800.

The previous prime is 13952076323. The next prime is 13952076337. The reversal of 13952076336 is 63367025931.

13952076336 is a `hidden beast` number, since 1 + 3 + 9 + 5 + 2 + 0 + 7 + 633 + 6 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 13952076291 and 13952076300.

It is not an unprimeable number, because it can be changed into a prime (13952076337) by changing a digit.

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 71 ways as a sum of consecutive naturals, for example, 22110741 + ... + 22111371.

Almost surely, 2^13952076336 is an apocalyptic number.

13952076336 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 13952076336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22763709696).

13952076336 is an abundant number, since it is smaller than the sum of its proper divisors (31575343056).

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

13952076336 is a wasteful number, since it uses less digits than its factorization.

13952076336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 723 (or 694 counting only the distinct ones).

The product of its (nonzero) digits is 612360, while the sum is 45.

The spelling of 13952076336 in words is "thirteen billion, nine hundred fifty-two million, seventy-six thousand, three hundred thirty-six".