901411114109 has 24 divisors (see below), whose sum is σ = 996147230400. Its totient is φ = 815051160000.

The previous prime is 901411114103. The next prime is 901411114159.

901411114109 is nontrivially palindromic in base 10.

It is a de Polignac number, because none of the positive numbers 2^k-901411114109 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (901411114103) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 92723369 + ... + 92733089.

It is an arithmetic number, because the mean of its divisors is an integer number (41506134600).

Almost surely, 2^901411114109 is an apocalyptic number.

It is an amenable number.

901411114109 is a deficient number, since it is larger than the sum of its proper divisors (94736116291).

901411114109 is a wasteful number, since it uses less digits than its factorization.

901411114109 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13793 (or 13782 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 32.

The spelling of 901411114109 in words is "nine hundred one billion, four hundred eleven million, one hundred fourteen thousand, one hundred nine".