90001111100111 has 16 divisors (see below), whose sum is σ = 93276582000000. Its totient is φ = 86737170806496.

The previous prime is 90001111100107. The next prime is 90001111100189. The reversal of 90001111100111 is 11100111110009.

It is a cyclic number.

It is not a de Polignac number, because 90001111100111 - 2² = 90001111100107 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 90001111100111.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (90001111100311) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 77311640 + ... + 78467138.

It is an arithmetic number, because the mean of its divisors is an integer number (5829786375000).

Almost surely, 2^{90001111100111} is an apocalyptic number.

90001111100111 is a deficient number, since it is larger than the sum of its proper divisors (3275470899889).

90001111100111 is a wasteful number, since it uses less digits than its factorization.

90001111100111 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1160486.

The product of its (nonzero) digits is 9, while the sum is 17.

The spelling of 90001111100111 in words is "ninety trillion, one billion, one hundred eleven million, one hundred thousand, one hundred eleven".