38806365136896 has 1152 divisors, whose sum is σ = 137527254708480. Its totient is φ = 10701766656000.

The previous prime is 38806365136849. The next prime is 38806365136919. The reversal of 38806365136896 is 69863156360883.

38806365136896 is a `hidden beast` number, since 38 + 80 + 6 + 365 + 13 + 68 + 96 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 13854466696 + ... + 13854469496.

It is an arithmetic number, because the mean of its divisors is an integer number (119381297490).

Almost surely, 2^{38806365136896} is an apocalyptic number.

38806365136896 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 38806365136896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68763627354240).

38806365136896 is an abundant number, since it is smaller than the sum of its proper divisors (98720889571584).

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

38806365136896 is an equidigital number, since it uses as much as digits as its factorization.

38806365136896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2983 (or 2951 counting only the distinct ones).

The product of its (nonzero) digits is 806215680, while the sum is 72.

The spelling of 38806365136896 in words is "thirty-eight trillion, eight hundred six billion, three hundred sixty-five million, one hundred thirty-six thousand, eight hundred ninety-six".