13901461687520 has 192 divisors, whose sum is σ = 36134284032000. Its totient is φ = 5053631869440.

The previous prime is 13901461687499. The next prime is 13901461687543. The reversal of 13901461687520 is 2578616410931.

It is a super-2 number, since 2×13901461687520² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 993025481 + ... + 993039479.

It is an arithmetic number, because the mean of its divisors is an integer number (188199396000).

It is a 1-persistent number, because it is pandigital, but 2⋅13901461687520 = 27802923375040 is not.

Almost surely, 2^{13901461687520} is an apocalyptic number.

13901461687520 is a gapful number since it is divisible by the number (10) 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 13901461687520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18067142016000).

13901461687520 is an abundant number, since it is smaller than the sum of its proper divisors (22232822344480).

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

13901461687520 is a wasteful number, since it uses less digits than its factorization.

13901461687520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18710 (or 18680 counting only the distinct ones).

The product of its (nonzero) digits is 2177280, while the sum is 53.

The spelling of 13901461687520 in words is "thirteen trillion, nine hundred one billion, four hundred sixty-one million, six hundred eighty-seven thousand, five hundred twenty".