38505102741504 has 1521 divisors, whose sum is σ = 141802145074467. Its totient is φ = 10422433824768.

The previous prime is 38505102741431. The next prime is 38505102741509. The reversal of 38505102741504 is 40514720150583.

The square root of 38505102741504 is 6205248.

It is a perfect power (a square), and thus also a powerful number.

38505102741504 is a `hidden beast` number, since 3 + 8 + 50 + 51 + 0 + 2 + 7 + 41 + 504 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 38505102741504.

It is not an unprimeable number, because it can be changed into a prime (38505102741509) by changing a digit.

It is a polite number, since it can be written in 116 ways as a sum of consecutive naturals, for example, 2026584354807 + ... + 2026584354825.

Almost surely, 2^{38505102741504} is an apocalyptic number.

38505102741504 is the 6205248-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 38505102741504

38505102741504 is an abundant number, since it is smaller than the sum of its proper divisors (103297042332963).

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

38505102741504 is an frugal number, since it uses more digits than its factorization.

38505102741504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112 (or 31 counting only the distinct ones).

The product of its (nonzero) digits is 672000, while the sum is 45.

The spelling of 38505102741504 in words is "thirty-eight trillion, five hundred five billion, one hundred two million, seven hundred forty-one thousand, five hundred four".