11348946720 has 384 divisors, whose sum is σ = 40706426880. Its totient is φ = 2952391680.

The previous prime is 11348946701. The next prime is 11348946733. The reversal of 11348946720 is 2764984311.

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 49995247 + ... + 49995473.

It is an arithmetic number, because the mean of its divisors is an integer number (106006320).

Almost surely, 2^11348946720 is an apocalyptic number.

11348946720 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 11348946720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20353213440).

11348946720 is an abundant number, since it is smaller than the sum of its proper divisors (29357480160).

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

11348946720 is a wasteful number, since it uses less digits than its factorization.

11348946720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 485 (or 471 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The spelling of 11348946720 in words is "eleven billion, three hundred forty-eight million, nine hundred forty-six thousand, seven hundred twenty".