2991948575625 has 45 divisors (see below), whose sum is σ = 5400634860049. Its totient is φ = 1595636718000.

The previous prime is 2991948575591. The next prime is 2991948575639. The reversal of 2991948575625 is 5265758491992.

The square root of 2991948575625 is 1729725.

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

2991948575625 is a `hidden beast` number, since 2 + 9 + 9 + 1 + 9 + 4 + 8 + 57 + 562 + 5 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 234568768329 + 2757379807296 = 484323^2 + 1660536^2 .

It is a tau number, because it is divible by the number of its divisors (45).

It is not a de Polignac number, because 2991948575625 - 2⁹ = 2991948575113 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 129717844 + ... + 129740906.

Almost surely, 2^{2991948575625} is an apocalyptic number.

2991948575625 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

2991948575625 is the 1729725-th square number.

2991948575625 is the 864863-rd centered octagonal number.

It is an amenable number.

2991948575625 is a deficient number, since it is larger than the sum of its proper divisors (2408686284424).

2991948575625 is an frugal number, since it uses more digits than its factorization.

2991948575625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46152 (or 23071 counting only the distinct ones).

The product of its digits is 489888000, while the sum is 72.

The spelling of 2991948575625 in words is "two trillion, nine hundred ninety-one billion, nine hundred forty-eight million, five hundred seventy-five thousand, six hundred twenty-five".