116778389024025 has 81 divisors (see below), whose sum is σ = 214979952396573. Its totient is φ = 60595403140800.

The previous prime is 116778389023939. The next prime is 116778389024051. The reversal of 116778389024025 is 520420983877611.

The square root of 116778389024025 is 10806405.

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

116778389024025 is a `hidden beast` number, since 1 + 1 + 6 + 7 + 7 + 8 + 389 + 0 + 240 + 2 + 5 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 11085843270681 + 105692545753344 = 3329541^2 + 10280688^2 .

It is not a de Polignac number, because 116778389024025 - 2¹¹ = 116778389021977 is a prime.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 5997545040 + ... + 5997564510.

It is a 1-persistent number, because it is pandigital, but 2⋅116778389024025 = 233556778048050 is not.

Almost surely, 2^{116778389024025} is an apocalyptic number.

116778389024025 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

116778389024025 is the 10806405-th square number.

116778389024025 is the 5403203-rd centered octagonal number.

It is an amenable number.

116778389024025 is a deficient number, since it is larger than the sum of its proper divisors (98201563372548).

116778389024025 is an frugal number, since it uses more digits than its factorization.

116778389024025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39032 (or 19516 counting only the distinct ones).

The product of its (nonzero) digits is 40642560, while the sum is 63.

The spelling of 116778389024025 in words is "one hundred sixteen trillion, seven hundred seventy-eight billion, three hundred eighty-nine million, twenty-four thousand, twenty-five".