11345936384640 has 512 divisors, whose sum is σ = 44723972966400. Its totient is φ = 2405320704000.

The previous prime is 11345936384623. The next prime is 11345936384687. The reversal of 11345936384640 is 4648363954311.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (57).

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, 4129165 + ... + 6304115.

It is an arithmetic number, because the mean of its divisors is an integer number (87351509700).

Almost surely, 2^{11345936384640} is an apocalyptic number.

11345936384640 is a gapful number since it is divisible by the number (10) 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 11345936384640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22361986483200).

11345936384640 is an abundant number, since it is smaller than the sum of its proper divisors (33378036581760).

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

11345936384640 is a wasteful number, since it uses less digits than its factorization.

11345936384640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2175016 (or 2175004 counting only the distinct ones).

The product of its (nonzero) digits is 22394880, while the sum is 57.

The spelling of 11345936384640 in words is "eleven trillion, three hundred forty-five billion, nine hundred thirty-six million, three hundred eighty-four thousand, six hundred forty".