3851359150144 has 189 divisors, whose sum is σ = 8711467391991. Its totient is φ = 1688053678080.

The previous prime is 3851359150141. The next prime is 3851359150201. The reversal of 3851359150144 is 4410519531583.

The square root of 3851359150144 is 1962488.

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

It can be written as a sum of positive squares in 4 ways, for example, as 27926420544 + 3823432729600 = 167112^2 + 1955360^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (3851359150141) 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, 5008268992 + ... + 5008269760.

Almost surely, 2^{3851359150144} is an apocalyptic number.

3851359150144 is the 1962488-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3851359150144

3851359150144 is an abundant number, since it is smaller than the sum of its proper divisors (4860108241847).

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

3851359150144 is an frugal number, since it uses more digits than its factorization.

3851359150144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1630 (or 811 counting only the distinct ones).

The product of its (nonzero) digits is 1296000, while the sum is 49.

Multiplying 3851359150144 by its sum of digits (49), we get a square (188716598357056 = 13737416²).

The spelling of 3851359150144 in words is "three trillion, eight hundred fifty-one billion, three hundred fifty-nine million, one hundred fifty thousand, one hundred forty-four".