11371419864 has 384 divisors, whose sum is σ = 37645171200. Its totient is φ = 3033262080.

The previous prime is 11371419821. The next prime is 11371419869. The reversal of 11371419864 is 46891417311.

It is a super-3 number, since 3×11371419864³ (a number of 31 digits) contains 333 as substring.

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

Its product of digits (145152) is a multiple of the sum of its prime divisors (336).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11371419869) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 81808707 + ... + 81808845.

It is an arithmetic number, because the mean of its divisors is an integer number (98034300).

Almost surely, 2^11371419864 is an apocalyptic number.

11371419864 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 11371419864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18822585600).

11371419864 is an abundant number, since it is smaller than the sum of its proper divisors (26273751336).

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

11371419864 is a wasteful number, since it uses less digits than its factorization.

11371419864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 343 (or 336 counting only the distinct ones).

The product of its digits is 145152, while the sum is 45.

The spelling of 11371419864 in words is "eleven billion, three hundred seventy-one million, four hundred nineteen thousand, eight hundred sixty-four".