11338946745984 has 1536 divisors, whose sum is σ = 41736386764800. Its totient is φ = 3015246643200.

The previous prime is 11338946745983. The next prime is 11338946745989. The reversal of 11338946745984 is 48954764983311.

11338946745984 is a `hidden beast` number, since 1 + 1 + 3 + 3 + 8 + 94 + 6 + 7 + 459 + 84 = 666.

It is a super-2 number, since 2×11338946745984² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

Its product of digits (627056640) is a multiple of the sum of its prime factors (756).

It is not an unprimeable number, because it can be changed into a prime (11338946745983) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 27723585972 + ... + 27723586380.

It is an arithmetic number, because the mean of its divisors is an integer number (27172126800).

Almost surely, 2^{11338946745984} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11338946745984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20868193382400).

11338946745984 is an abundant number, since it is smaller than the sum of its proper divisors (30397440018816).

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

11338946745984 is a wasteful number, since it uses less digits than its factorization.

11338946745984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 756 (or 732 counting only the distinct ones).

The product of its digits is 627056640, while the sum is 72.

The spelling of 11338946745984 in words is "eleven trillion, three hundred thirty-eight billion, nine hundred forty-six million, seven hundred forty-five thousand, nine hundred eighty-four".