13461839150172 has 288 divisors, whose sum is σ = 37849634887680. Its totient is φ = 3709202595840.

The previous prime is 13461839150167. The next prime is 13461839150231. The reversal of 13461839150172 is 27105193816431.

It is a super-2 number, since 2×13461839150172² (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 95 ways as a sum of consecutive naturals, for example, 9433663723 + ... + 9433665149.

It is an arithmetic number, because the mean of its divisors is an integer number (131422343360).

It is a 1-persistent number, because it is pandigital, but 2⋅13461839150172 = 26923678300344 is not.

Almost surely, 2^{13461839150172} is an apocalyptic number.

13461839150172 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 13461839150172, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18924817443840).

13461839150172 is an abundant number, since it is smaller than the sum of its proper divisors (24387795737508).

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

13461839150172 is a wasteful number, since it uses less digits than its factorization.

13461839150172 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2921 (or 2912 counting only the distinct ones).

The product of its (nonzero) digits is 1088640, while the sum is 51.

The spelling of 13461839150172 in words is "thirteen trillion, four hundred sixty-one billion, eight hundred thirty-nine million, one hundred fifty thousand, one hundred seventy-two".