11462382000 has 240 divisors, whose sum is σ = 40602669120. Its totient is φ = 3013248000.

The previous prime is 11462381951. The next prime is 11462382023. The reversal of 11462382000 is 28326411.

11462382000 is a `hidden beast` number, since 1 + 14 + 623 + 8 + 20 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×11462382000² (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1273516 + ... + 1282484.

It is an arithmetic number, because the mean of its divisors is an integer number (169177788).

Almost surely, 2^11462382000 is an apocalyptic number.

11462382000 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 11462382000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20301334560).

11462382000 is an abundant number, since it is smaller than the sum of its proper divisors (29140287120).

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

11462382000 is a wasteful number, since it uses less digits than its factorization.

11462382000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9069 (or 9050 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The spelling of 11462382000 in words is "eleven billion, four hundred sixty-two million, three hundred eighty-two thousand".