13961850741135 has 256 divisors, whose sum is σ = 28772855562240. Its totient is φ = 6356750400000.

The previous prime is 13961850741131. The next prime is 13961850741191. The reversal of 13961850741135 is 53114705816931.

13961850741135 is a `hidden beast` number, since 1 + 3 + 9 + 6 + 18 + 507 + 4 + 113 + 5 = 666.

It is a Cunningham number, because it is equal to 3736556²-1.

It is not a de Polignac number, because 13961850741135 - 2² = 13961850741131 is a prime.

It is a super-2 number, since 2×13961850741135² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13961850741131) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 1139643760 + ... + 1139656010.

It is an arithmetic number, because the mean of its divisors is an integer number (112393967040).

Almost surely, 2^{13961850741135} is an apocalyptic number.

13961850741135 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

13961850741135 is an abundant number, since it is smaller than the sum of its proper divisors (14811004821105).

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

13961850741135 is a wasteful number, since it uses less digits than its factorization.

13961850741135 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12907 (or 12901 counting only the distinct ones).

The product of its (nonzero) digits is 2721600, while the sum is 54.

The spelling of 13961850741135 in words is "thirteen trillion, nine hundred sixty-one billion, eight hundred fifty million, seven hundred forty-one thousand, one hundred thirty-five".