13834397817072 has 960 divisors, whose sum is σ = 49031111808000. Its totient is φ = 3716132732928.

The previous prime is 13834397817059. The next prime is 13834397817077. The reversal of 13834397817072 is 27071879343831.

13834397817072 is a `hidden beast` number, since 1 + 3 + 8 + 3 + 4 + 397 + 8 + 170 + 72 = 666.

It is a super-2 number, since 2×13834397817072² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13834397817077) by changing a digit.

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 191 ways as a sum of consecutive naturals, for example, 14891708704 + ... + 14891709632.

It is an arithmetic number, because the mean of its divisors is an integer number (51074074800).

Almost surely, 2^{13834397817072} is an apocalyptic number.

13834397817072 is a gapful number since it is divisible by the number (12) 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 13834397817072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24515555904000).

13834397817072 is an abundant number, since it is smaller than the sum of its proper divisors (35196713990928).

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

13834397817072 is a wasteful number, since it uses less digits than its factorization.

13834397817072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1475 (or 1456 counting only the distinct ones).

The product of its (nonzero) digits is 42674688, while the sum is 63.

The spelling of 13834397817072 in words is "thirteen trillion, eight hundred thirty-four billion, three hundred ninety-seven million, eight hundred seventeen thousand, seventy-two".