11046937689774 has 256 divisors, whose sum is σ = 30317130547200. Its totient is φ = 2911347836928.

The previous prime is 11046937689773. The next prime is 11046937689839. The reversal of 11046937689774 is 47798673964011.

11046937689774 is a `hidden beast` number, since 1 + 1 + 0 + 469 + 3 + 7 + 6 + 8 + 97 + 74 = 666.

11046937689774 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-3 number, since 3×11046937689774³ (a number of 40 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11046937689773) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 65063139 + ... + 65232705.

It is an arithmetic number, because the mean of its divisors is an integer number (118426291200).

Almost surely, 2^{11046937689774} is an apocalyptic number.

11046937689774 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 11046937689774, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15158565273600).

11046937689774 is an abundant number, since it is smaller than the sum of its proper divisors (19270192857426).

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

11046937689774 is a wasteful number, since it uses less digits than its factorization.

11046937689774 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 169844 (or 169838 counting only the distinct ones).

The product of its (nonzero) digits is 384072192, while the sum is 72.

The spelling of 11046937689774 in words is "eleven trillion, forty-six billion, nine hundred thirty-seven million, six hundred eighty-nine thousand, seven hundred seventy-four".