13048694952384 has 336 divisors, whose sum is σ = 42785334881280. Its totient is φ = 3436584652800.

The previous prime is 13048694952331. The next prime is 13048694952401. The reversal of 13048694952384 is 48325949684031.

13048694952384 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (336).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 163270834 + ... + 163350734.

Almost surely, 2^{13048694952384} is an apocalyptic number.

13048694952384 is a gapful number since it is divisible by the number (14) 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 13048694952384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21392667440640).

13048694952384 is an abundant number, since it is smaller than the sum of its proper divisors (29736639928896).

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

13048694952384 is a wasteful number, since it uses less digits than its factorization.

13048694952384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80668 (or 80645 counting only the distinct ones).

The product of its (nonzero) digits is 179159040, while the sum is 66.

The spelling of 13048694952384 in words is "thirteen trillion, forty-eight billion, six hundred ninety-four million, nine hundred fifty-two thousand, three hundred eighty-four".