13144590014976 has 480 divisors, whose sum is σ = 45699875020800. Its totient is φ = 3553072128000.

The previous prime is 13144590014953. The next prime is 13144590014977. The reversal of 13144590014976 is 67941009544131.

13144590014976 is a `hidden beast` number, since 1 + 3 + 1 + 4 + 4 + 590 + 0 + 1 + 49 + 7 + 6 = 666.

13144590014976 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (13144590014977) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 460246585 + ... + 460275143.

It is an arithmetic number, because the mean of its divisors is an integer number (95208072960).

Almost surely, 2^{13144590014976} is an apocalyptic number.

13144590014976 is a gapful number since it is divisible by the number (16) 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 13144590014976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22849937510400).

13144590014976 is an abundant number, since it is smaller than the sum of its proper divisors (32555285005824).

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

13144590014976 is a wasteful number, since it uses less digits than its factorization.

13144590014976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29360 (or 29341 counting only the distinct ones).

The product of its (nonzero) digits is 3265920, while the sum is 54.

The spelling of 13144590014976 in words is "thirteen trillion, one hundred forty-four billion, five hundred ninety million, fourteen thousand, nine hundred seventy-six".