11901944964 has 384 divisors, whose sum is σ = 38384640000. Its totient is φ = 2838882816.

The previous prime is 11901944959. The next prime is 11901945091. The reversal of 11901944964 is 46944910911.

It is a super-2 number, since 2×11901944964² (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 23382742 + ... + 23383250.

It is an arithmetic number, because the mean of its divisors is an integer number (99960000).

Almost surely, 2^11901944964 is an apocalyptic number.

11901944964 is a gapful number since it is divisible by the number (14) 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 11901944964, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19192320000).

11901944964 is an abundant number, since it is smaller than the sum of its proper divisors (26482695036).

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

11901944964 is a wasteful number, since it uses less digits than its factorization.

11901944964 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 592 (or 576 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 48.

The spelling of 11901944964 in words is "eleven billion, nine hundred one million, nine hundred forty-four thousand, nine hundred sixty-four".