13901386752 has 352 divisors, whose sum is σ = 45999528960. Its totient is φ = 4110704640.

The previous prime is 13901386729. The next prime is 13901386777. The reversal of 13901386752 is 25768310931.

It is a tau number, because it is divible by the number of its divisors (352).

It is a super-2 number, since 2×13901386752² (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 13901386698 and 13901386707.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13076973 + ... + 13078035.

It is an arithmetic number, because the mean of its divisors is an integer number (130680480).

Almost surely, 2^13901386752 is an apocalyptic number.

13901386752 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 13901386752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22999764480).

13901386752 is an abundant number, since it is smaller than the sum of its proper divisors (32098142208).

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

13901386752 is a wasteful number, since it uses less digits than its factorization.

13901386752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1146 (or 1122 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 45.

The spelling of 13901386752 in words is "thirteen billion, nine hundred one million, three hundred eighty-six thousand, seven hundred fifty-two".