67440454249 has 27 divisors (see below), whose sum is σ = 82061235543. Its totient is φ = 55258515312.

The previous prime is 67440454241. The next prime is 67440454259. The reversal of 67440454249 is 94245404476.

The square root of 67440454249 is 259693.

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., 42137825625 + 25302628624 = 205275^2 + 159068^2 .

It is not a de Polignac number, because 67440454249 - 2³ = 67440454241 is a prime.

It is a super-2 number, since 2×67440454249² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (49).

It is not an unprimeable number, because it can be changed into a prime (67440454241) 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, 41809767 + ... + 41811379.

Almost surely, 2^67440454249 is an apocalyptic number.

67440454249 is the 259693-rd square number.

67440454249 is the 129847-th centered octagonal number.

It is an amenable number.

67440454249 is a deficient number, since it is larger than the sum of its proper divisors (14620781294).

67440454249 is an frugal number, since it uses more digits than its factorization.

67440454249 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3286 (or 1643 counting only the distinct ones).

The product of its (nonzero) digits is 3870720, while the sum is 49.

Multiplying 67440454249 by its sum of digits (49), we get a square (3304582258201 = 1817851²).

67440454249 divided by its sum of digits (49) gives a square (1376335801 = 37099²).

The spelling of 67440454249 in words is "sixty-seven billion, four hundred forty million, four hundred fifty-four thousand, two hundred forty-nine".