11890414013454 has 160 divisors (see below), whose sum is σ = 29504459952000. Its totient is φ = 3563940534336.

The previous prime is 11890414013441. The next prime is 11890414013477. The reversal of 11890414013454 is 45431041409811.

11890414013454 is a `hidden beast` number, since 1 + 18 + 90 + 414 + 0 + 134 + 5 + 4 = 666.

11890414013454 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×11890414013454² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 4137577 + ... + 6395339.

It is an arithmetic number, because the mean of its divisors is an integer number (184402874700).

Almost surely, 2^{11890414013454} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11890414013454, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14752229976000).

11890414013454 is an abundant number, since it is smaller than the sum of its proper divisors (17614045938546).

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

11890414013454 is a wasteful number, since it uses less digits than its factorization.

11890414013454 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2257884 (or 2257875 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 45.

The spelling of 11890414013454 in words is "eleven trillion, eight hundred ninety billion, four hundred fourteen million, thirteen thousand, four hundred fifty-four".