2418898988961 has 243 divisors, whose sum is σ = 4591908252243. Its totient is φ = 1269855830880.

The previous prime is 2418898988953. The next prime is 2418898989037. The reversal of 2418898988961 is 1698898988142.

The square root of 2418898988961 is 1555281.

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., 357825294225 + 2061073694736 = 598185^2 + 1435644^2 .

It is a tau number, because it is divible by the number of its divisors (243).

It is not a de Polignac number, because 2418898988961 - 2³ = 2418898988953 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (81).

Its product of digits (1146617856) is a multiple of the sum of its prime factors (486).

It is not an unprimeable number, because it can be changed into a prime (2418898988161) by changing a digit.

It is a polite number, since it can be written in 242 ways as a sum of consecutive naturals, for example, 11463976146 + ... + 11463976356.

Almost surely, 2^{2418898988961} is an apocalyptic number.

2418898988961 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

2418898988961 is the 1555281-st square number.

2418898988961 is the 777641-st centered octagonal number.

It is an amenable number.

2418898988961 is a deficient number, since it is larger than the sum of its proper divisors (2173009263282).

2418898988961 is an frugal number, since it uses more digits than its factorization.

2418898988961 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 486 (or 234 counting only the distinct ones).

The product of its digits is 1146617856, while the sum is 81.

Multiplying 2418898988961 by its sum of digits (81), we get a square (195930818105841 = 13997529²).

2418898988961 divided by its sum of digits (81) gives a square (29862950481 = 172809²).

The spelling of 2418898988961 in words is "two trillion, four hundred eighteen billion, eight hundred ninety-eight million, nine hundred eighty-eight thousand, nine hundred sixty-one".