1985878460944 has 45 divisors (see below), whose sum is σ = 4475914494957. Its totient is φ = 851073858432.

The previous prime is 1985878460873. The next prime is 1985878460947. The reversal of 1985878460944 is 4490648785891.

The square root of 1985878460944 is 1409212.

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

It can be written as a sum of positive squares in only one way, i.e., 13314390544 + 1972564070400 = 115388^2 + 1404480^2 .

It is a super-2 number, since 2×1985878460944² (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1985878460947) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 39432772 + ... + 39483100.

Almost surely, 2^{1985878460944} is an apocalyptic number.

1985878460944 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

1985878460944 is the 1409212-nd square number.

It is an amenable number.

1985878460944 is an abundant number, since it is smaller than the sum of its proper divisors (2490036034013).

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

1985878460944 is an frugal number, since it uses more digits than its factorization.

1985878460944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100680 (or 50338 counting only the distinct ones).

The product of its (nonzero) digits is 557383680, while the sum is 73.

The spelling of 1985878460944 in words is "one trillion, nine hundred eighty-five billion, eight hundred seventy-eight million, four hundred sixty thousand, nine hundred forty-four".