13807261181952 has 864 divisors, whose sum is σ = 48235228423200. Its totient is φ = 3934404182016.

The previous prime is 13807261181947. The next prime is 13807261181953. The reversal of 13807261181952 is 25918116270831.

13807261181952 is a `hidden beast` number, since 1 + 3 + 8 + 0 + 7 + 2 + 611 + 8 + 19 + 5 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

It is a super-2 number, since 2×13807261181952² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (13807261181953) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 16655320674 + ... + 16655321502.

It is an arithmetic number, because the mean of its divisors is an integer number (55827810675).

Almost surely, 2^{13807261181952} is an apocalyptic number.

13807261181952 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 13807261181952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24117614211600).

13807261181952 is an abundant number, since it is smaller than the sum of its proper divisors (34427967241248).

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

13807261181952 is an frugal number, since it uses more digits than its factorization.

13807261181952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1563 (or 1524 counting only the distinct ones).

The product of its (nonzero) digits is 1451520, while the sum is 54.

The spelling of 13807261181952 in words is "thirteen trillion, eight hundred seven billion, two hundred sixty-one million, one hundred eighty-one thousand, nine hundred fifty-two".