13901006318976 has 256 divisors, whose sum is σ = 47318491968000. Its totient is φ = 3935277582336.

The previous prime is 13901006318957. The next prime is 13901006318977. The reversal of 13901006318976 is 67981360010931.

It is a happy number.

13901006318976 is a `hidden beast` number, since 1 + 390 + 1 + 0 + 0 + 6 + 3 + 189 + 76 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13901006318977) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1095 + ... + 5272761.

It is an arithmetic number, because the mean of its divisors is an integer number (184837859250).

Almost surely, 2^{13901006318976} is an apocalyptic number.

13901006318976 is a gapful number since it is divisible by the number (16) 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 13901006318976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23659245984000).

13901006318976 is an abundant number, since it is smaller than the sum of its proper divisors (33417485649024).

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

13901006318976 is a wasteful number, since it uses less digits than its factorization.

13901006318976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5271806 (or 5271788 counting only the distinct ones).

The product of its (nonzero) digits is 1469664, while the sum is 54.

The spelling of 13901006318976 in words is "thirteen trillion, nine hundred one billion, six million, three hundred eighteen thousand, nine hundred seventy-six".