13849601079888 has 640 divisors, whose sum is σ = 48747308544000. Its totient is φ = 3674865991680.

The previous prime is 13849601079887. The next prime is 13849601079943. The reversal of 13849601079888 is 88897010694831.

13849601079888 is a `hidden beast` number, since 1 + 3 + 8 + 4 + 9 + 601 + 0 + 7 + 9 + 8 + 8 + 8 = 666.

It is a super-2 number, since 2×13849601079888² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13849601079887) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1205460448 + ... + 1205471936.

It is an arithmetic number, because the mean of its divisors is an integer number (76167669600).

Almost surely, 2^{13849601079888} is an apocalyptic number.

13849601079888 is a gapful number since it is divisible by the number (18) 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 13849601079888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24373654272000).

13849601079888 is an abundant number, since it is smaller than the sum of its proper divisors (34897707464112).

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

13849601079888 is a wasteful number, since it uses less digits than its factorization.

13849601079888 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11840 (or 11828 counting only the distinct ones).

The product of its (nonzero) digits is 167215104, while the sum is 72.

The spelling of 13849601079888 in words is "thirteen trillion, eight hundred forty-nine billion, six hundred one million, seventy-nine thousand, eight hundred eighty-eight".