11497938984 has 480 divisors, whose sum is σ = 40118760000. Its totient is φ = 3074609664.

The previous prime is 11497938979. The next prime is 11497939003. The reversal of 11497938984 is 48983979411.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a nude number because it is divisible by every one of its digits.

Its product of digits (15676416) is a multiple of the sum of its prime factors (252).

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 119 ways as a sum of consecutive naturals, for example, 64234207 + ... + 64234385.

It is an arithmetic number, because the mean of its divisors is an integer number (83580750).

Almost surely, 2^11497938984 is an apocalyptic number.

11497938984 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 11497938984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20059380000).

11497938984 is an abundant number, since it is smaller than the sum of its proper divisors (28620821016).

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

11497938984 is a wasteful number, since it uses less digits than its factorization.

11497938984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 252 (or 208 counting only the distinct ones).

The product of its digits is 15676416, while the sum is 63.

The spelling of 11497938984 in words is "eleven billion, four hundred ninety-seven million, nine hundred thirty-eight thousand, nine hundred eighty-four".