13016514152448 has 72 divisors (see below), whose sum is σ = 37594082676150. Its totient is φ = 4338838044672.

The previous prime is 13016514152407. The next prime is 13016514152501. The reversal of 13016514152448 is 84425141561031.

13016514152448 is a `hidden beast` number, since 1 + 3 + 0 + 1 + 6 + 51 + 4 + 152 + 448 = 666.

It can be written as a sum of positive squares in only one way, i.e., 12813192520704 + 203321631744 = 3579552^2 + 450912^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 353077113 + ... + 353113976.

Almost surely, 2^{13016514152448} is an apocalyptic number.

13016514152448 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

13016514152448 is an abundant number, since it is smaller than the sum of its proper divisors (24577568523702).

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

13016514152448 is an equidigital number, since it uses as much as digits as its factorization.

13016514152448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 706191117 (or 706191094 counting only the distinct ones).

The product of its (nonzero) digits is 460800, while the sum is 45.

The spelling of 13016514152448 in words is "thirteen trillion, sixteen billion, five hundred fourteen million, one hundred fifty-two thousand, four hundred forty-eight".