13048593554304 has 640 divisors, whose sum is σ = 48784391251200. Its totient is φ = 3363346022400.

The previous prime is 13048593554281. The next prime is 13048593554327. The reversal of 13048593554304 is 40345539584031.

13048593554304 is a `hidden beast` number, since 1 + 3 + 0 + 4 + 8 + 5 + 93 + 5 + 543 + 0 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (13048593554281) and next prime (13048593554327).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 104519632 + ... + 104644400.

It is an arithmetic number, because the mean of its divisors is an integer number (76225611330).

Almost surely, 2^{13048593554304} is an apocalyptic number.

13048593554304 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 13048593554304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24392195625600).

13048593554304 is an abundant number, since it is smaller than the sum of its proper divisors (35735797696896).

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

13048593554304 is a wasteful number, since it uses less digits than its factorization.

13048593554304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 124944 (or 124923 counting only the distinct ones).

The product of its (nonzero) digits is 15552000, while the sum is 54.

The spelling of 13048593554304 in words is "thirteen trillion, forty-eight billion, five hundred ninety-three million, five hundred fifty-four thousand, three hundred four".