38362527144150 has 384 divisors, whose sum is σ = 109246503776256. Its totient is φ = 8824087641600.

The previous prime is 38362527144121. The next prime is 38362527144157. The reversal of 38362527144150 is 5144172526383.

It is a junction number, because it is equal to n+sod(n) for n = 38362527144093 and 38362527144102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38362527144157) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1687960087 + ... + 1687982813.

It is an arithmetic number, because the mean of its divisors is an integer number (284496103584).

Almost surely, 2^{38362527144150} is an apocalyptic number.

38362527144150 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 38362527144150, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54623251888128).

38362527144150 is an abundant number, since it is smaller than the sum of its proper divisors (70883976632106).

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

38362527144150 is a wasteful number, since it uses less digits than its factorization.

38362527144150 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23476 (or 23471 counting only the distinct ones).

The product of its (nonzero) digits is 4838400, while the sum is 51.

The spelling of 38362527144150 in words is "thirty-eight trillion, three hundred sixty-two billion, five hundred twenty-seven million, one hundred forty-four thousand, one hundred fifty".