382814498411136 has 1280 divisors, whose sum is σ = 1297042699392000. Its totient is φ = 111956085964800.

The previous prime is 382814498411131. The next prime is 382814498411153. The reversal of 382814498411136 is 631114894418283.

It is a happy number.

382814498411136 is a `hidden beast` number, since 3 + 8 + 2 + 8 + 1 + 4 + 498 + 4 + 1 + 1 + 136 = 666.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (382814498411131) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 192079526556 + ... + 192079528548.

It is an arithmetic number, because the mean of its divisors is an integer number (1013314608900).

Almost surely, 2^{382814498411136} is an apocalyptic number.

382814498411136 is a gapful number since it is divisible by the number (36) 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 382814498411136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (648521349696000).

382814498411136 is an abundant number, since it is smaller than the sum of its proper divisors (914228200980864).

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

382814498411136 is a wasteful number, since it uses less digits than its factorization.

382814498411136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2532 (or 2489 counting only the distinct ones).

The product of its digits is 31850496, while the sum is 63.

The spelling of 382814498411136 in words is "three hundred eighty-two trillion, eight hundred fourteen billion, four hundred ninety-eight million, four hundred eleven thousand, one hundred thirty-six".