11348397668240 has 80 divisors (see below), whose sum is σ = 26685775036800. Its totient is φ = 4487633458176.

The previous prime is 11348397668149. The next prime is 11348397668297. The reversal of 11348397668240 is 4286679384311.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×11348397668240² (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 45293549 + ... + 45543411.

It is an arithmetic number, because the mean of its divisors is an integer number (333572187960).

Almost surely, 2^{11348397668240} is an apocalyptic number.

11348397668240 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 11348397668240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13342887518400).

11348397668240 is an abundant number, since it is smaller than the sum of its proper divisors (15337377368560).

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

11348397668240 is a wasteful number, since it uses less digits than its factorization.

11348397668240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 256344 (or 256338 counting only the distinct ones).

The product of its (nonzero) digits is 41803776, while the sum is 62.

The spelling of 11348397668240 in words is "eleven trillion, three hundred forty-eight billion, three hundred ninety-seven million, six hundred sixty-eight thousand, two hundred forty".