381135754560 has 448 divisors, whose sum is σ = 1368637636608. Its totient is φ = 89026560000.

The previous prime is 381135754553. The next prime is 381135754567. The reversal of 381135754560 is 65457531183.

It is an interprime number because it is at equal distance from previous prime (381135754553) and next prime (381135754567).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (381135754567) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 78891345 + ... + 78896175.

Almost surely, 2^381135754560 is an apocalyptic number.

381135754560 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 381135754560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (684318818304).

381135754560 is an abundant number, since it is smaller than the sum of its proper divisors (987501882048).

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

381135754560 is a wasteful number, since it uses less digits than its factorization.

381135754560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5134 (or 5124 counting only the distinct ones).

The product of its (nonzero) digits is 1512000, while the sum is 48.

The spelling of 381135754560 in words is "three hundred eighty-one billion, one hundred thirty-five million, seven hundred fifty-four thousand, five hundred sixty".