11400114191136 has 192 divisors, whose sum is σ = 33371716331520. Its totient is φ = 3377899791360.

The previous prime is 11400114191101. The next prime is 11400114191153. The reversal of 11400114191136 is 63119141100411.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a junction number, because it is equal to n+sod(n) for n = 11400114191097 and 11400114191106.

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, 52949175 + ... + 53164041.

It is an arithmetic number, because the mean of its divisors is an integer number (173811022560).

Almost surely, 2^{11400114191136} is an apocalyptic number.

11400114191136 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11400114191136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16685858165760).

11400114191136 is an abundant number, since it is smaller than the sum of its proper divisors (21971602140384).

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

11400114191136 is a wasteful number, since it uses less digits than its factorization.

11400114191136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 216007 (or 215999 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 33.

Adding to 11400114191136 its reverse (63119141100411), we get a palindrome (74519255291547).

The spelling of 11400114191136 in words is "eleven trillion, four hundred billion, one hundred fourteen million, one hundred ninety-one thousand, one hundred thirty-six".