13381900483872 has 96 divisors (see below), whose sum is σ = 35730489130560. Its totient is φ = 4384094274560.

The previous prime is 13381900483829. The next prime is 13381900483879. The reversal of 13381900483872 is 27838400918331.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×13381900483872² (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (13381900483879) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 26558122 + ... + 27057302.

It is an arithmetic number, because the mean of its divisors is an integer number (372192595110).

Almost surely, 2^{13381900483872} is an apocalyptic number.

13381900483872 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 13381900483872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17865244565280).

13381900483872 is an abundant number, since it is smaller than the sum of its proper divisors (22348588646688).

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

13381900483872 is a wasteful number, since it uses less digits than its factorization.

13381900483872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 503986 (or 503978 counting only the distinct ones).

The product of its (nonzero) digits is 6967296, while the sum is 57.

The spelling of 13381900483872 in words is "thirteen trillion, three hundred eighty-one billion, nine hundred million, four hundred eighty-three thousand, eight hundred seventy-two".