381679019136 has 512 divisors, whose sum is σ = 1218266784000. Its totient is φ = 118674948096.

The previous prime is 381679019101. The next prime is 381679019147. The reversal of 381679019136 is 631910976183.

It is a happy number.

381679019136 is a `hidden beast` number, since 381 + 6 + 79 + 0 + 191 + 3 + 6 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 661488480 + ... + 661489056.

Almost surely, 2^381679019136 is an apocalyptic number.

381679019136 is a gapful number since it is divisible by the number (36) 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 381679019136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (609133392000).

381679019136 is an abundant number, since it is smaller than the sum of its proper divisors (836587764864).

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

381679019136 is an equidigital number, since it uses as much as digits as its factorization.

381679019136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 768 (or 738 counting only the distinct ones).

The product of its (nonzero) digits is 1469664, while the sum is 54.

The spelling of 381679019136 in words is "three hundred eighty-one billion, six hundred seventy-nine million, nineteen thousand, one hundred thirty-six".