2614663128064 has 231 divisors, whose sum is σ = 5919229614613. Its totient is φ = 1154299441152.

The previous prime is 2614663128053. The next prime is 2614663128067. The reversal of 2614663128064 is 4608213664162.

The square root of 2614663128064 is 1616992.

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

It can be written as a sum of positive squares in 3 ways, for example, as 2243285017600 + 371378110464 = 1497760^2 + 609408^2 .

It is a junction number, because it is equal to n+sod(n) for n = 2614663127999 and 2614663128017.

It is not an unprimeable number, because it can be changed into a prime (2614663128067) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 20 ways as a sum of consecutive naturals, for example, 113681005557 + ... + 113681005579.

Almost surely, 2^{2614663128064} is an apocalyptic number.

2614663128064 is the 1616992-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2614663128064

2614663128064 is an abundant number, since it is smaller than the sum of its proper divisors (3304566486549).

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

2614663128064 is an frugal number, since it uses more digits than its factorization.

2614663128064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 144 (or 38 counting only the distinct ones).

The product of its (nonzero) digits is 1990656, while the sum is 49.

Multiplying 2614663128064 by its sum of digits (49), we get a square (128118493275136 = 11318944²).

The spelling of 2614663128064 in words is "two trillion, six hundred fourteen billion, six hundred sixty-three million, one hundred twenty-eight thousand, sixty-four".