381694792752000 has 4608 divisors, whose sum is σ = 1791252404323200. Its totient is φ = 80062591795200.

The previous prime is 381694792751969. The next prime is 381694792752083. The reversal of 381694792752000 is 257297496183.

381694792752000 is a `hidden beast` number, since 3 + 8 + 1 + 6 + 94 + 79 + 275 + 200 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 567154223664 + ... + 567154224336.

It is a 1-persistent number, because it is pandigital, but 2⋅381694792752000 = 763389585504000 is not.

Almost surely, 2^{381694792752000} is an apocalyptic number.

381694792752000 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 381694792752000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (895626202161600).

381694792752000 is an abundant number, since it is smaller than the sum of its proper divisors (1409557611571200).

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

381694792752000 is a wasteful number, since it uses less digits than its factorization.

381694792752000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 973 (or 932 counting only the distinct ones).

The product of its (nonzero) digits is 45722880, while the sum is 63.

The spelling of 381694792752000 in words is "three hundred eighty-one trillion, six hundred ninety-four billion, seven hundred ninety-two million, seven hundred fifty-two thousand".