381447464785920 has 1152 divisors, whose sum is σ = 1516362240294720. Its totient is φ = 91356777676800.

The previous prime is 381447464785903. The next prime is 381447464785921. The reversal of 381447464785920 is 29587464744183.

It is a happy number.

381447464785920 is a `hidden beast` number, since 3 + 8 + 1 + 4 + 4 + 7 + 464 + 78 + 5 + 92 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (381447464785921) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1196722570 + ... + 1197041270.

It is a 1-persistent number, because it is pandigital, but 2⋅381447464785920 = 762894929571840 is not.

Almost surely, 2^{381447464785920} is an apocalyptic number.

381447464785920 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 381447464785920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (758181120147360).

381447464785920 is an abundant number, since it is smaller than the sum of its proper divisors (1134914775508800).

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

381447464785920 is a wasteful number, since it uses less digits than its factorization.

381447464785920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 318793 (or 318761 counting only the distinct ones).

The product of its (nonzero) digits is 1300561920, while the sum is 72.

The spelling of 381447464785920 in words is "three hundred eighty-one trillion, four hundred forty-seven billion, four hundred sixty-four million, seven hundred eighty-five thousand, nine hundred twenty".