11701113984 has 512 divisors, whose sum is σ = 41455411200. Its totient is φ = 3179520000.

The previous prime is 11701113973. The next prime is 11701114003. The reversal of 11701113984 is 48931110711.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 46617859 + ... + 46618109.

It is an arithmetic number, because the mean of its divisors is an integer number (80967600).

Almost surely, 2^11701113984 is an apocalyptic number.

11701113984 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 11701113984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20727705600).

11701113984 is an abundant number, since it is smaller than the sum of its proper divisors (29754297216).

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

11701113984 is a wasteful number, since it uses less digits than its factorization.

11701113984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 369 (or 351 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 36.

The spelling of 11701113984 in words is "eleven billion, seven hundred one million, one hundred thirteen thousand, nine hundred eighty-four".