11908648416 has 192 divisors, whose sum is σ = 36719198208. Its totient is φ = 3308594688.

The previous prime is 11908648391. The next prime is 11908648463. The reversal of 11908648416 is 61484680911.

It is a super-4 number, since 4×11908648416⁴ (a number of 41 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

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, 7598865 + ... + 7600431.

It is an arithmetic number, because the mean of its divisors is an integer number (191245824).

Almost surely, 2^11908648416 is an apocalyptic number.

11908648416 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 11908648416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18359599104).

11908648416 is an abundant number, since it is smaller than the sum of its proper divisors (24810549792).

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

11908648416 is a wasteful number, since it uses less digits than its factorization.

11908648416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1893 (or 1885 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 48.

The spelling of 11908648416 in words is "eleven billion, nine hundred eight million, six hundred forty-eight thousand, four hundred sixteen".