54102835944369 has 81 divisors (see below), whose sum is σ = 81479098374219. Its totient is φ = 34593036707520.

The previous prime is 54102835944323. The next prime is 54102835944389. The reversal of 54102835944369 is 96344953820145.

It is a happy number.

The square root of 54102835944369 is 7355463.

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

54102835944369 is a `hidden beast` number, since 5 + 4 + 1 + 0 + 2 + 8 + 3 + 594 + 4 + 36 + 9 = 666.

It can be written as a sum of positive squares in only one way, i.e., 8917014182769 + 45185821761600 = 2986137^2 + 6722040^2 .

It is not a de Polignac number, because 54102835944369 - 2⁹ = 54102835943857 is a prime.

It is a super-2 number, since 2×54102835944369² (a number of 28 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (54102835944389) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 95084069917 + ... + 95084070485.

Almost surely, 2^{54102835944369} is an apocalyptic number.

54102835944369 is the 7355463-rd square number.

54102835944369 is the 3677732-nd centered octagonal number.

It is an amenable number.

54102835944369 is a deficient number, since it is larger than the sum of its proper divisors (27376262429850).

54102835944369 is an frugal number, since it uses more digits than its factorization.

54102835944369 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1484 (or 742 counting only the distinct ones).

The product of its (nonzero) digits is 111974400, while the sum is 63.

The spelling of 54102835944369 in words is "fifty-four trillion, one hundred two billion, eight hundred thirty-five million, nine hundred forty-four thousand, three hundred sixty-nine".