381148860960 has 384 divisors, whose sum is σ = 1528121548800. Its totient is φ = 86918261760.

The previous prime is 381148860949. The next prime is 381148860971. The reversal of 381148860960 is 69068841183.

381148860960 is a `hidden beast` number, since 3 + 8 + 11 + 488 + 60 + 96 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (381148860949) and next prime (381148860971).

It is a super-2 number, since 2×381148860960² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 381148860897 and 381148860906.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 13261005 + ... + 13289715.

It is an arithmetic number, because the mean of its divisors is an integer number (3979483200).

Almost surely, 2^381148860960 is an apocalyptic number.

381148860960 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 381148860960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (764060774400).

381148860960 is an abundant number, since it is smaller than the sum of its proper divisors (1146972687840).

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

381148860960 is a wasteful number, since it uses less digits than its factorization.

381148860960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29181 (or 29167 counting only the distinct ones).

The product of its (nonzero) digits is 1990656, while the sum is 54.

The spelling of 381148860960 in words is "three hundred eighty-one billion, one hundred forty-eight million, eight hundred sixty thousand, nine hundred sixty".