11384113160000 has 210 divisors, whose sum is σ = 32837706584298. Its totient is φ = 3903123840000.

The previous prime is 11384113159967. The next prime is 11384113160027. The reversal of 11384113160000 is 6131148311.

It is a happy number.

It can be written as a sum of positive squares in 5 ways, for example, as 920647926016 + 10463465233984 = 959504^2 + 3234728^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 944111 + ... + 4864110.

Almost surely, 2^{11384113160000} is an apocalyptic number.

11384113160000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11384113160000 is an abundant number, since it is smaller than the sum of its proper divisors (21453593424298).

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

11384113160000 is an frugal number, since it uses more digits than its factorization.

11384113160000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5808267 (or 5808235 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 29.

The spelling of 11384113160000 in words is "eleven trillion, three hundred eighty-four billion, one hundred thirteen million, one hundred sixty thousand".