1948610995200 has 1056 divisors, whose sum is σ = 7438906736640. Its totient is φ = 499322880000.

The previous prime is 1948610995109. The next prime is 1948610995207. The reversal of 1948610995200 is 25990168491.

1948610995200 is a `hidden beast` number, since 1 + 9 + 4 + 8 + 6 + 109 + 9 + 520 + 0 = 666.

It is a super-2 number, since 2×1948610995200² (a number of 25 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (1948610995207) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4521138985 + ... + 4521139415.

Almost surely, 2^{1948610995200} is an apocalyptic number.

1948610995200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1948610995200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3719453368320).

1948610995200 is an abundant number, since it is smaller than the sum of its proper divisors (5490295741440).

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

1948610995200 is a wasteful number, since it uses less digits than its factorization.

1948610995200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 712 (or 683 counting only the distinct ones).

The product of its (nonzero) digits is 1399680, while the sum is 54.

The spelling of 1948610995200 in words is "one trillion, nine hundred forty-eight billion, six hundred ten million, nine hundred ninety-five thousand, two hundred".