381497528160 has 1152 divisors, whose sum is σ = 1609331068800. Its totient is φ = 84103004160.

The previous prime is 381497528123. The next prime is 381497528161. The reversal of 381497528160 is 61825794183.

381497528160 is a `hidden beast` number, since 3 + 8 + 14 + 97 + 528 + 16 + 0 = 666.

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 = 381497528097 and 381497528106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (381497528161) by changing a digit.

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 191 ways as a sum of consecutive naturals, for example, 980713246 + ... + 980713634.

It is an arithmetic number, because the mean of its divisors is an integer number (1396988775).

It is a 1-persistent number, because it is pandigital, but 2⋅381497528160 = 762995056320 is not.

Almost surely, 2^381497528160 is an apocalyptic number.

381497528160 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 381497528160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (804665534400).

381497528160 is an abundant number, since it is smaller than the sum of its proper divisors (1227833540640).

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

381497528160 is a wasteful number, since it uses less digits than its factorization.

381497528160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 581 (or 560 counting only the distinct ones).

The product of its (nonzero) digits is 2903040, while the sum is 54.

The spelling of 381497528160 in words is "three hundred eighty-one billion, four hundred ninety-seven million, five hundred twenty-eight thousand, one hundred sixty".