38363158020096 has 1120 divisors, whose sum is σ = 141712042348800. Its totient is φ = 10108583018496.

The previous prime is 38363158020067. The next prime is 38363158020137. The reversal of 38363158020096 is 69002085136383.

It is a happy number.

38363158020096 is a `hidden beast` number, since 3 + 8 + 3 + 6 + 31 + 580 + 20 + 0 + 9 + 6 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 34780741081 + ... + 34780742183.

It is an arithmetic number, because the mean of its divisors is an integer number (126528609240).

Almost surely, 2^{38363158020096} is an apocalyptic number.

38363158020096 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 38363158020096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70856021174400).

38363158020096 is an abundant number, since it is smaller than the sum of its proper divisors (103348884328704).

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

38363158020096 is an frugal number, since it uses more digits than its factorization.

38363158020096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1179 (or 1128 counting only the distinct ones).

The product of its (nonzero) digits is 5598720, while the sum is 54.

The spelling of 38363158020096 in words is "thirty-eight trillion, three hundred sixty-three billion, one hundred fifty-eight million, twenty thousand, ninety-six".