1838030947600 has 135 divisors (see below), whose sum is σ = 4504281403503. Its totient is φ = 720776459520.

The previous prime is 1838030947583. The next prime is 1838030947639. The reversal of 1838030947600 is 67490308381.

It is a happy number.

The square root of 1838030947600 is 1355740.

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 13845758224 + 1824185189376 = 117668^2 + 1350624^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 1437083761 + ... + 1437085039.

Almost surely, 2^{1838030947600} is an apocalyptic number.

1838030947600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1838030947600 is the 1355740-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1838030947600

1838030947600 is an abundant number, since it is smaller than the sum of its proper divisors (2666250455903).

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

1838030947600 is an frugal number, since it uses more digits than its factorization.

1838030947600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2682 (or 1339 counting only the distinct ones).

The product of its (nonzero) digits is 870912, while the sum is 49.

Multiplying 1838030947600 by its sum of digits (49), we get a square (90063516432400 = 9490180²).

The spelling of 1838030947600 in words is "one trillion, eight hundred thirty-eight billion, thirty million, nine hundred forty-seven thousand, six hundred".