13952863761408 has 3168 divisors, whose sum is σ = 54525123475200. Its totient is φ = 3507058114560.

The previous prime is 13952863761367. The next prime is 13952863761427. The reversal of 13952863761408 is 80416736825931.

13952863761408 is a `hidden beast` number, since 1 + 3 + 9 + 5 + 2 + 8 + 6 + 3 + 7 + 614 + 0 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (3168).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 377104425966 + ... + 377104426002.

It is a 1-persistent number, because it is pandigital, but 2⋅13952863761408 = 27905727522816 is not.

Almost surely, 2^{13952863761408} is an apocalyptic number.

13952863761408 is a gapful number since it is divisible by the number (18) 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 13952863761408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27262561737600).

13952863761408 is an abundant number, since it is smaller than the sum of its proper divisors (40572259713792).

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

13952863761408 is a wasteful number, since it uses less digits than its factorization.

13952863761408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 166 (or 118 counting only the distinct ones).

The product of its (nonzero) digits is 52254720, while the sum is 63.

It can be divided in two parts, 139528 and 63761408, that added together give a palindrome (63900936).

The spelling of 13952863761408 in words is "thirteen trillion, nine hundred fifty-two billion, eight hundred sixty-three million, seven hundred sixty-one thousand, four hundred eight".