381503066112 has 624 divisors, whose sum is σ = 1306050625152. Its totient is φ = 105035857920.

The previous prime is 381503066083. The next prime is 381503066129. The reversal of 381503066112 is 211660305183.

381503066112 is a `hidden beast` number, since 3 + 8 + 1 + 5 + 0 + 30 + 6 + 611 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 1132056408 + ... + 1132056744.

It is an arithmetic number, because the mean of its divisors is an integer number (2093029848).

Almost surely, 2^381503066112 is an apocalyptic number.

381503066112 is a gapful number since it is divisible by the number (32) 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 381503066112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (653025312576).

381503066112 is an abundant number, since it is smaller than the sum of its proper divisors (924547559040).

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

381503066112 is a wasteful number, since it uses less digits than its factorization.

381503066112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 522 (or 497 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The spelling of 381503066112 in words is "three hundred eighty-one billion, five hundred three million, sixty-six thousand, one hundred twelve".