2911715640625 has 189 divisors, whose sum is σ = 4308731820183. Its totient is φ = 1965744000000.

The previous prime is 2911715640619. The next prime is 2911715640679. The reversal of 2911715640625 is 5260465171192.

The square root of 2911715640625 is 1706375.

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

It can be written as a sum of positive squares in 31 ways, for example, as 1274656806049 + 1637058834576 = 1129007^2 + 1279476^2 .

It is not a de Polignac number, because 2911715640625 - 2⁵ = 2911715640593 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 188 ways as a sum of consecutive naturals, for example, 39886515589 + ... + 39886515661.

Almost surely, 2^{2911715640625} is an apocalyptic number.

2911715640625 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

2911715640625 is the 1706375-th square number.

2911715640625 is the 853188-th centered octagonal number.

It is an amenable number.

2911715640625 is a deficient number, since it is larger than the sum of its proper divisors (1397016179558).

2911715640625 is an frugal number, since it uses more digits than its factorization.

2911715640625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 232 (or 106 counting only the distinct ones).

The product of its (nonzero) digits is 907200, while the sum is 49.

Multiplying 2911715640625 by its sum of digits (49), we get a square (142674066390625 = 11944625²).

The spelling of 2911715640625 in words is "two trillion, nine hundred eleven billion, seven hundred fifteen million, six hundred forty thousand, six hundred twenty-five".