11676748138440 has 256 divisors, whose sum is σ = 43684045701120. Its totient is φ = 2425783127040.

The previous prime is 11676748138373. The next prime is 11676748138483. The reversal of 11676748138440 is 4483184767611.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 40948194 + ... + 41232366.

It is an arithmetic number, because the mean of its divisors is an integer number (170640803520).

Almost surely, 2^{11676748138440} is an apocalyptic number.

11676748138440 is a gapful number since it is divisible by the number (10) 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 11676748138440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21842022850560).

11676748138440 is an abundant number, since it is smaller than the sum of its proper divisors (32007297562680).

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

11676748138440 is a wasteful number, since it uses less digits than its factorization.

11676748138440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 288652 (or 288648 counting only the distinct ones).

The product of its (nonzero) digits is 21676032, while the sum is 60.

The spelling of 11676748138440 in words is "eleven trillion, six hundred seventy-six billion, seven hundred forty-eight million, one hundred thirty-eight thousand, four hundred forty".