382153464000 has 3136 divisors, whose sum is σ = 1895896184832. Its totient is φ = 73903104000.

The previous prime is 382153463981. The next prime is 382153464013. The reversal of 382153464000 is 464351283.

382153464000 is a `hidden beast` number, since 3 + 8 + 2 + 1 + 5 + 3 + 4 + 640 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 447 ways as a sum of consecutive naturals, for example, 10328471982 + ... + 10328472018.

Almost surely, 2^382153464000 is an apocalyptic number.

382153464000 is a gapful number since it is divisible by the number (30) 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 382153464000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (947948092416).

382153464000 is an abundant number, since it is smaller than the sum of its proper divisors (1513742720832).

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

382153464000 is a wasteful number, since it uses less digits than its factorization.

382153464000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 123 (or 88 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The spelling of 382153464000 in words is "three hundred eighty-two billion, one hundred fifty-three million, four hundred sixty-four thousand".