1493824172841 has 405 divisors, whose sum is σ = 3072728045205. Its totient is φ = 696959303040.

The previous prime is 1493824172831. The next prime is 1493824172857. The reversal of 1493824172841 is 1482714283941.

It is a happy number.

The square root of 1493824172841 is 1222221.

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

1493824172841 is a `hidden beast` number, since 1 + 4 + 93 + 82 + 417 + 28 + 41 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 6204870441 + 1487619302400 = 78771^2 + 1219680^2 .

It is not a de Polignac number, because 1493824172841 - 2⁷ = 1493824172713 is a prime.

It is a super-2 number, since 2×1493824172841² (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1493824172831) by changing a digit.

It is a polite number, since it can be written in 404 ways as a sum of consecutive naturals, for example, 40373626275 + ... + 40373626311.

Almost surely, 2^{1493824172841} is an apocalyptic number.

1493824172841 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

1493824172841 is the 1222221-st square number.

1493824172841 is the 611111-st centered octagonal number.

It is an amenable number.

1493824172841 is an abundant number, since it is smaller than the sum of its proper divisors (1578903872364).

1493824172841 is an equidigital number, since it uses as much as digits as its factorization.

1493824172841 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 164 (or 71 counting only the distinct ones).

The product of its digits is 3096576, while the sum is 54.

The spelling of 1493824172841 in words is "one trillion, four hundred ninety-three billion, eight hundred twenty-four million, one hundred seventy-two thousand, eight hundred forty-one".