2378149515625 has 105 divisors (see below), whose sum is σ = 3265079749413. Its totient is φ = 1732114800000.

The previous prime is 2378149515617. The next prime is 2378149515629. The reversal of 2378149515625 is 5265159418732.

The square root of 2378149515625 is 1542125.

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

It can be written as a sum of positive squares in 52 ways, for example, as 1961716775769 + 416432739856 = 1400613^2 + 645316^2 .

It is not a de Polignac number, because 2378149515625 - 2³ = 2378149515617 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 2378149515625.

It is not an unprimeable number, because it can be changed into a prime (2378149515629) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 104 ways as a sum of consecutive naturals, for example, 32577390589 + ... + 32577390661.

Almost surely, 2^{2378149515625} is an apocalyptic number.

2378149515625 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

2378149515625 is the 1542125-th square number.

2378149515625 is the 771063-rd centered octagonal number.

It is an amenable number.

2378149515625 is a deficient number, since it is larger than the sum of its proper divisors (886930233788).

2378149515625 is an frugal number, since it uses more digits than its factorization.

2378149515625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 228 (or 91 counting only the distinct ones).

The product of its digits is 18144000, while the sum is 58.

The spelling of 2378149515625 in words is "two trillion, three hundred seventy-eight billion, one hundred forty-nine million, five hundred fifteen thousand, six hundred twenty-five".