5414044776100 has 27 divisors (see below), whose sum is σ = 11748527656131. Its totient is φ = 2165608603200.

The previous prime is 5414044776089. The next prime is 5414044776131. The reversal of 5414044776100 is 16774404145.

The square root of 5414044776100 is 2326810.

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 452947844196 + 4961096931904 = 673014^2 + 2227352^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 23151760 + ... + 23384440.

Almost surely, 2^{5414044776100} is an apocalyptic number.

5414044776100 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

5414044776100 is the 2326810-th square number.

It is an amenable number.

5414044776100 is an abundant number, since it is smaller than the sum of its proper divisors (6334482880031).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

5414044776100 is an frugal number, since it uses more digits than its factorization.

5414044776100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 465376 (or 232688 counting only the distinct ones).

The product of its (nonzero) digits is 376320, while the sum is 43.

It can be divided in two parts, 5414044 and 776100, that added together give a square (6190144 = 2488²).

The spelling of 5414044776100 in words is "five trillion, four hundred fourteen billion, forty-four million, seven hundred seventy-six thousand, one hundred".