11461890127 has 16 divisors (see below), whose sum is σ = 12683278080. Its totient is φ = 10302742912.

The previous prime is 11461890103. The next prime is 11461890137. The reversal of 11461890127 is 72109816411.

11461890127 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 11461890127 - 2¹¹ = 11461888079 is a prime.

It is a super-2 number, since 2×11461890127² (a number of 21 digits) contains 22 as substring.

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 11461890127.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11461890137) 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 15 ways as a sum of consecutive naturals, for example, 235428 + ... + 279910.

It is an arithmetic number, because the mean of its divisors is an integer number (792704880).

Almost surely, 2^11461890127 is an apocalyptic number.

11461890127 is a gapful number since it is divisible by the number (17) formed by its first and last digit.

11461890127 is a deficient number, since it is larger than the sum of its proper divisors (1221387953).

11461890127 is a wasteful number, since it uses less digits than its factorization.

11461890127 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45182.

The product of its (nonzero) digits is 24192, while the sum is 40.

The spelling of 11461890127 in words is "eleven billion, four hundred sixty-one million, eight hundred ninety thousand, one hundred twenty-seven".