2623198097641 has 27 divisors (see below), whose sum is σ = 2911326479607. Its totient is φ = 2361807792960.

The previous prime is 2623198097627. The next prime is 2623198097651. The reversal of 2623198097641 is 1467908913262.

The square root of 2623198097641 is 1619629.

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

It can be written as a sum of positive squares in only one way, i.e., 46222850025 + 2576975247616 = 214995^2 + 1605296^2 .

It is not a de Polignac number, because 2623198097641 - 2¹⁵ = 2623198064873 is a prime.

It is a super-2 number, since 2×2623198097641² (a number of 26 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2623198097651) 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 26 ways as a sum of consecutive naturals, for example, 2013198196 + ... + 2013199498.

Almost surely, 2^{2623198097641} is an apocalyptic number.

2623198097641 is the 1619629-th square number.

2623198097641 is the 809815-th centered octagonal number.

It is an amenable number.

2623198097641 is a deficient number, since it is larger than the sum of its proper divisors (288128381966).

2623198097641 is an frugal number, since it uses more digits than its factorization.

2623198097641 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2854 (or 1427 counting only the distinct ones).

The product of its (nonzero) digits is 7838208, while the sum is 58.

The spelling of 2623198097641 in words is "two trillion, six hundred twenty-three billion, one hundred ninety-eight million, ninety-seven thousand, six hundred forty-one".