13059145846752 has 24 divisors (see below), whose sum is σ = 34280257847976. Its totient is φ = 4353048615552.

The previous prime is 13059145846751. The next prime is 13059145846807. The reversal of 13059145846752 is 25764854195031.

It is a tau number, because it is divible by the number of its divisors (24).

It is a super-2 number, since 2×13059145846752² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13059145846751) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 68016384523 + ... + 68016384714.

It is an arithmetic number, because the mean of its divisors is an integer number (1428344076999).

It is a 1-persistent number, because it is pandigital, but 2⋅13059145846752 = 26118291693504 is not.

Almost surely, 2^{13059145846752} is an apocalyptic number.

13059145846752 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

13059145846752 is an abundant number, since it is smaller than the sum of its proper divisors (21221112001224).

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

13059145846752 is a wasteful number, since it uses less digits than its factorization.

13059145846752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 136032769250 (or 136032769242 counting only the distinct ones).

The product of its (nonzero) digits is 36288000, while the sum is 60.

The spelling of 13059145846752 in words is "thirteen trillion, fifty-nine billion, one hundred forty-five million, eight hundred forty-six thousand, seven hundred fifty-two".