11976583248084 has 384 divisors, whose sum is σ = 36102442844160. Its totient is φ = 3006696236544.

The previous prime is 11976583248053. The next prime is 11976583248127. The reversal of 11976583248084 is 48084238567911.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 271635889 + ... + 271679975.

It is an arithmetic number, because the mean of its divisors is an integer number (94016778240).

It is a 1-persistent number, because it is pandigital, but 2⋅11976583248084 = 23953166496168 is not.

Almost surely, 2^{11976583248084} is an apocalyptic number.

11976583248084 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 11976583248084, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18051221422080).

11976583248084 is an abundant number, since it is smaller than the sum of its proper divisors (24125859596076).

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

11976583248084 is a wasteful number, since it uses less digits than its factorization.

11976583248084 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44307 (or 44305 counting only the distinct ones).

The product of its (nonzero) digits is 92897280, while the sum is 66.

The spelling of 11976583248084 in words is "eleven trillion, nine hundred seventy-six billion, five hundred eighty-three million, two hundred forty-eight thousand, eighty-four".