2449854170401 has 27 divisors (see below), whose sum is σ = 2842380877203. Its totient is φ = 2109640515840.

The previous prime is 2449854170333. The next prime is 2449854170411. The reversal of 2449854170401 is 1040714589442.

The square root of 2449854170401 is 1565201.

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., 1232097780001 + 1217756390400 = 1109999^2 + 1103520^2 .

It is not a de Polignac number, because 2449854170401 - 2¹¹ = 2449854168353 is a prime.

It is not an unprimeable number, because it can be changed into a prime (2449854170411) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 327123265 + ... + 327130753.

Almost surely, 2^{2449854170401} is an apocalyptic number.

2449854170401 is the 1565201-st square number.

2449854170401 is the 782601-st centered octagonal number.

It is an amenable number.

2449854170401 is a deficient number, since it is larger than the sum of its proper divisors (392526706802).

2449854170401 is an frugal number, since it uses more digits than its factorization.

2449854170401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15038 (or 7519 counting only the distinct ones).

The product of its (nonzero) digits is 1290240, while the sum is 49.

Multiplying 2449854170401 by its sum of digits (49), we get a square (120042854349649 = 10956407²).

The spelling of 2449854170401 in words is "two trillion, four hundred forty-nine billion, eight hundred fifty-four million, one hundred seventy thousand, four hundred one".