38065570816 has 297 divisors, whose sum is σ = 97302235149. Its totient is φ = 14834147328.

The previous prime is 38065570813. The next prime is 38065570849. The reversal of 38065570816 is 61807556083.

The square root of 38065570816 is 195104.

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

It can be written as a sum of positive squares in only one way, i.e., 5631001600 + 32434569216 = 75040^2 + 180096^2 .

It is a Harshad number since it is a multiple of its sum of digits (49).

It is a self number, because there is not a number n which added to its sum of digits gives 38065570816.

It is not an unprimeable number, because it can be changed into a prime (38065570813) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 568142815 + ... + 568142881.

Almost surely, 2^38065570816 is an apocalyptic number.

38065570816 is the 195104-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 38065570816

38065570816 is an abundant number, since it is smaller than the sum of its proper divisors (59236664333).

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

38065570816 is an equidigital number, since it uses as much as digits as its factorization.

38065570816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 194 (or 89 counting only the distinct ones).

The product of its (nonzero) digits is 1209600, while the sum is 49.

Multiplying 38065570816 by its sum of digits (49), we get a square (1865212969984 = 1365728²).

38065570816 divided by its sum of digits (49) gives a square (776848384 = 27872²).

The spelling of 38065570816 in words is "thirty-eight billion, sixty-five million, five hundred seventy thousand, eight hundred sixteen".