13345204070016 has 1024 divisors, whose sum is σ = 49904418816000. Its totient is φ = 3417124257792.

The previous prime is 13345204069867. The next prime is 13345204070017. The reversal of 13345204070016 is 61007040254331.

13345204070016 is a `hidden beast` number, since 13 + 3 + 4 + 520 + 40 + 70 + 0 + 16 = 666.

It is a super-2 number, since 2×13345204070016² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (13345204070017) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1877223070 + ... + 1877230178.

It is an arithmetic number, because the mean of its divisors is an integer number (48734784000).

Almost surely, 2^{13345204070016} is an apocalyptic number.

13345204070016 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 13345204070016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24952209408000).

13345204070016 is an abundant number, since it is smaller than the sum of its proper divisors (36559214745984).

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

13345204070016 is a wasteful number, since it uses less digits than its factorization.

13345204070016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7326 (or 7308 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The spelling of 13345204070016 in words is "thirteen trillion, three hundred forty-five billion, two hundred four million, seventy thousand, sixteen".