11682897408 has 640 divisors, whose sum is σ = 43887191040. Its totient is φ = 2985984000.

The previous prime is 11682897379. The next prime is 11682897433. The reversal of 11682897408 is 80479828611.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 46545283 + ... + 46545533.

It is an arithmetic number, because the mean of its divisors is an integer number (68573736).

Almost surely, 2^11682897408 is an apocalyptic number.

11682897408 is a gapful number since it is divisible by the number (18) 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 11682897408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21943595520).

11682897408 is an abundant number, since it is smaller than the sum of its proper divisors (32204293632).

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

11682897408 is a wasteful number, since it uses less digits than its factorization.

11682897408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 335 (or 313 counting only the distinct ones).

The product of its (nonzero) digits is 1548288, while the sum is 54.

The spelling of 11682897408 in words is "eleven billion, six hundred eighty-two million, eight hundred ninety-seven thousand, four hundred eight".