11121877674936 has 128 divisors (see below), whose sum is σ = 35315491392000. Its totient is φ = 3176964446976.

The previous prime is 11121877674911. The next prime is 11121877674983. The reversal of 11121877674936 is 63947677812111.

It is a happy number.

11121877674936 is a `hidden beast` number, since 1 + 1 + 1 + 2 + 1 + 87 + 7 + 67 + 493 + 6 = 666.

It is a hoax number, since the sum of its digits (63) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5913795 + ... + 7564173.

It is an arithmetic number, because the mean of its divisors is an integer number (275902276500).

Almost surely, 2^{11121877674936} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11121877674936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17657745696000).

11121877674936 is an abundant number, since it is smaller than the sum of its proper divisors (24193613717064).

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

11121877674936 is a wasteful number, since it uses less digits than its factorization.

11121877674936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1654858 (or 1654848 counting only the distinct ones).

The product of its digits is 21337344, while the sum is 63.

The spelling of 11121877674936 in words is "eleven trillion, one hundred twenty-one billion, eight hundred seventy-seven million, six hundred seventy-four thousand, nine hundred thirty-six".