38123007369216 has 1792 divisors, whose sum is σ = 142935168983040. Its totient is φ = 8724487864320.

The previous prime is 38123007369169. The next prime is 38123007369221. The reversal of 38123007369216 is 61296370032183.

It is a tau number, because it is divible by the number of its divisors (1792).

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 59289280191 + ... + 59289280833.

It is an arithmetic number, because the mean of its divisors is an integer number (79762929120).

Almost surely, 2^{38123007369216} 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 38123007369216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71467584491520).

38123007369216 is an abundant number, since it is smaller than the sum of its proper divisors (104812161613824).

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

38123007369216 is a wasteful number, since it uses less digits than its factorization.

38123007369216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 823 (or 799 counting only the distinct ones).

The product of its (nonzero) digits is 1959552, while the sum is 51.

The spelling of 38123007369216 in words is "thirty-eight trillion, one hundred twenty-three billion, seven million, three hundred sixty-nine thousand, two hundred sixteen".