11964961008 has 800 divisors, whose sum is σ = 48638886912. Its totient is φ = 2737152000.

The previous prime is 11964961007. The next prime is 11964961049. The reversal of 11964961008 is 80016946911.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11964961007) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 29837608 + ... + 29838008.

Almost surely, 2^11964961008 is an apocalyptic number.

11964961008 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 11964961008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24319443456).

11964961008 is an abundant number, since it is smaller than the sum of its proper divisors (36673925904).

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

11964961008 is a wasteful number, since it uses less digits than its factorization.

11964961008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 475 (or 460 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 45.

The spelling of 11964961008 in words is "eleven billion, nine hundred sixty-four million, nine hundred sixty-one thousand, eight".