18277335040000 has 315 divisors, whose sum is σ = 45953856939067. Its totient is φ = 7267155968000.

The previous prime is 18277335039983. The next prime is 18277335040007. The reversal of 18277335040000 is 4053377281.

It is a happy number.

The square root of 18277335040000 is 4275200.

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

It can be written as a sum of positive squares in 2 ways, for example, as 1432943067136 + 16844391972864 = 1197056^2 + 4104192^2 .

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (18277335040007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 109445119917 + ... + 109445120083.

Almost surely, 2^{18277335040000} is an apocalyptic number.

18277335040000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

18277335040000 is the 4275200-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 18277335040000

18277335040000 is an abundant number, since it is smaller than the sum of its proper divisors (27676521899067).

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

18277335040000 is an frugal number, since it uses more digits than its factorization.

18277335040000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 394 (or 174 counting only the distinct ones).

The product of its (nonzero) digits is 141120, while the sum is 40.

The spelling of 18277335040000 in words is "eighteen trillion, two hundred seventy-seven billion, three hundred thirty-five million, forty thousand".