38142392708448 has 384 divisors, whose sum is σ = 129385948769280. Its totient is φ = 10705872384000.

The previous prime is 38142392708437. The next prime is 38142392708477. The reversal of 38142392708448 is 84480729324183.

It is a happy number.

38142392708448 is a `hidden beast` number, since 3 + 8 + 1 + 423 + 92 + 7 + 0 + 84 + 48 = 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 polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 299136868 + ... + 299264348.

It is an arithmetic number, because the mean of its divisors is an integer number (336942574920).

Almost surely, 2^{38142392708448} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 38142392708448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64692974384640).

38142392708448 is an abundant number, since it is smaller than the sum of its proper divisors (91243556060832).

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

38142392708448 is a wasteful number, since it uses less digits than its factorization.

38142392708448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 128379 (or 128365 counting only the distinct ones).

The product of its (nonzero) digits is 74317824, while the sum is 63.

The spelling of 38142392708448 in words is "thirty-eight trillion, one hundred forty-two billion, three hundred ninety-two million, seven hundred eight thousand, four hundred forty-eight".