381624743136 has 288 divisors, whose sum is σ = 1262983428000. Its totient is φ = 100004696064.

The previous prime is 381624743113. The next prime is 381624743177. The reversal of 381624743136 is 631347426183.

It is a super-2 number, since 2×381624743136² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

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

It is a congruent number.

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, 9580990 + ... + 9620738.

It is an arithmetic number, because the mean of its divisors is an integer number (4385359125).

Almost surely, 2^381624743136 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 381624743136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (631491714000).

381624743136 is an abundant number, since it is smaller than the sum of its proper divisors (881358684864).

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

381624743136 is a wasteful number, since it uses less digits than its factorization.

381624743136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39946 (or 39931 counting only the distinct ones).

The product of its digits is 1741824, while the sum is 48.

The spelling of 381624743136 in words is "three hundred eighty-one billion, six hundred twenty-four million, seven hundred forty-three thousand, one hundred thirty-six".