18932802201856 has 135 divisors (see below), whose sum is σ = 40196314419373. Its totient is φ = 8900085800960.

The previous prime is 18932802201853. The next prime is 18932802201857. The reversal of 18932802201856 is 65810220823981.

The square root of 18932802201856 is 4351184.

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

It can be written as a sum of positive squares in 7 ways, for example, as 101368371456 + 18831433830400 = 318384^2 + 4339520^2 .

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 18932802201797 and 18932802201806.

It is not an unprimeable number, because it can be changed into a prime (18932802201851) by changing a digit.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 20119874346 + ... + 20119875286.

Almost surely, 2^{18932802201856} is an apocalyptic number.

18932802201856 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

18932802201856 is the 4351184-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 18932802201856

18932802201856 is an abundant number, since it is smaller than the sum of its proper divisors (21263512217517).

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

18932802201856 is an frugal number, since it uses more digits than its factorization.

18932802201856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1966 (or 960 counting only the distinct ones).

The product of its (nonzero) digits is 3317760, while the sum is 55.

The spelling of 18932802201856 in words is "eighteen trillion, nine hundred thirty-two billion, eight hundred two million, two hundred one thousand, eight hundred fifty-six".