13795481952 has 480 divisors, whose sum is σ = 48299328000. Its totient is φ = 3860027136.

The previous prime is 13795481939. The next prime is 13795481969. The reversal of 13795481952 is 25918459731.

It is a happy number.

13795481952 is a `hidden beast` number, since 1 + 3 + 7 + 9 + 548 + 1 + 95 + 2 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 52454173 + ... + 52454435.

It is an arithmetic number, because the mean of its divisors is an integer number (100623600).

Almost surely, 2^13795481952 is an apocalyptic number.

13795481952 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 13795481952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24149664000).

13795481952 is an abundant number, since it is smaller than the sum of its proper divisors (34503846048).

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

13795481952 is an equidigital number, since it uses as much as digits as its factorization.

13795481952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 365 (or 334 counting only the distinct ones).

The product of its digits is 2721600, while the sum is 54.

The spelling of 13795481952 in words is "thirteen billion, seven hundred ninety-five million, four hundred eighty-one thousand, nine hundred fifty-two".