118920071882304 has 1575 divisors, whose sum is σ = 453643559919473. Its totient is φ = 30778407475200.

The previous prime is 118920071882251. The next prime is 118920071882327. The reversal of 118920071882304 is 403288170029811.

The square root of 118920071882304 is 10905048.

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

118920071882304 is a `hidden beast` number, since 118 + 9 + 200 + 7 + 18 + 8 + 2 + 304 = 666.

It can be written as a sum of positive squares in only one way, i.e., 80364913763904 + 38555158118400 = 8964648^2 + 6209280^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 224 ways as a sum of consecutive naturals, for example, 423203102644 + ... + 423203102924.

Almost surely, 2^{118920071882304} is an apocalyptic number.

118920071882304 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

118920071882304 is the 10905048-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 118920071882304

118920071882304 is an abundant number, since it is smaller than the sum of its proper divisors (334723488037169).

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

118920071882304 is an frugal number, since it uses more digits than its factorization.

118920071882304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 636 (or 304 counting only the distinct ones).

The product of its (nonzero) digits is 1548288, while the sum is 54.

The spelling of 118920071882304 in words is "one hundred eighteen trillion, nine hundred twenty billion, seventy-one million, eight hundred eighty-two thousand, three hundred four".