13795166556864 has 336 divisors, whose sum is σ = 50106490526976. Its totient is φ = 3524419123200.

The previous prime is 13795166556863. The next prime is 13795166556887. The reversal of 13795166556864 is 46865566159731.

It is a happy number.

13795166556864 is a `hidden beast` number, since 1 + 3 + 7 + 9 + 5 + 1 + 6 + 6 + 556 + 8 + 64 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 13795166556792 and 13795166556801.

It is not an unprimeable number, because it can be changed into a prime (13795166556863) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 155979 + ... + 5254965.

Almost surely, 2^{13795166556864} is an apocalyptic number.

13795166556864 is a gapful number since it is divisible by the number (14) 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 13795166556864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25053245263488).

13795166556864 is an abundant number, since it is smaller than the sum of its proper divisors (36311323970112).

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

13795166556864 is a wasteful number, since it uses less digits than its factorization.

13795166556864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5099084 (or 5099071 counting only the distinct ones).

The product of its digits is 979776000, while the sum is 72.

The spelling of 13795166556864 in words is "thirteen trillion, seven hundred ninety-five billion, one hundred sixty-six million, five hundred fifty-six thousand, eight hundred sixty-four".