38469248304192 has 336 divisors, whose sum is σ = 118308413583360. Its totient is φ = 11913948094464.

The previous prime is 38469248304181. The next prime is 38469248304229. The reversal of 38469248304192 is 29140384296483.

38469248304192 is a `hidden beast` number, since 3 + 8 + 4 + 69 + 2 + 483 + 0 + 4 + 1 + 92 = 666.

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 47 ways as a sum of consecutive naturals, for example, 1517931073 + ... + 1517956415.

It is an arithmetic number, because the mean of its divisors is an integer number (352108373760).

Almost surely, 2^{38469248304192} is an apocalyptic number.

38469248304192 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 38469248304192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59154206791680).

38469248304192 is an abundant number, since it is smaller than the sum of its proper divisors (79839165279168).

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

38469248304192 is a wasteful number, since it uses less digits than its factorization.

38469248304192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28050 (or 28037 counting only the distinct ones).

The product of its (nonzero) digits is 71663616, while the sum is 63.

The spelling of 38469248304192 in words is "thirty-eight trillion, four hundred sixty-nine billion, two hundred forty-eight million, three hundred four thousand, one hundred ninety-two".