2446893705025 has 243 divisors, whose sum is σ = 4138503053097. Its totient is φ = 1429603929600.

The previous prime is 2446893705019. The next prime is 2446893705043. The reversal of 2446893705025 is 5205073986442.

It is a happy number.

The square root of 2446893705025 is 1564255.

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

It can be written as a sum of positive squares in 4 ways, for example, as 57235299121 + 2389658405904 = 239239^2 + 1545852^2 .

It is not a de Polignac number, because 2446893705025 - 2³ = 2446893705017 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (55).

It is an unprimeable number.

It is a polite number, since it can be written in 242 ways as a sum of consecutive naturals, for example, 10238048856 + ... + 10238049094.

Almost surely, 2^{2446893705025} is an apocalyptic number.

2446893705025 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

2446893705025 is the 1564255-th square number.

2446893705025 is the 782128-th centered octagonal number.

It is an amenable number.

2446893705025 is a deficient number, since it is larger than the sum of its proper divisors (1691609348072).

2446893705025 is a wasteful number, since it uses less digits than its factorization.

2446893705025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 558 (or 279 counting only the distinct ones).

The product of its (nonzero) digits is 14515200, while the sum is 55.

The spelling of 2446893705025 in words is "two trillion, four hundred forty-six billion, eight hundred ninety-three million, seven hundred five thousand, twenty-five".