1948649788800 has 1920 divisors, whose sum is σ = 8895955622400. Its totient is φ = 412961587200.

The previous prime is 1948649788793. The next prime is 1948649788853. The reversal of 1948649788800 is 88879468491.

It is a happy number.

1948649788800 is a `hidden beast` number, since 19 + 48 + 6 + 497 + 8 + 8 + 80 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1920).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 704245017 + ... + 704247783.

It is an arithmetic number, because the mean of its divisors is an integer number (4633310220).

Almost surely, 2^{1948649788800} is an apocalyptic number.

1948649788800 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 1948649788800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4447977811200).

1948649788800 is an abundant number, since it is smaller than the sum of its proper divisors (6947305833600).

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

1948649788800 is a wasteful number, since it uses less digits than its factorization.

1948649788800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2846 (or 2820 counting only the distinct ones).

The product of its (nonzero) digits is 222953472, while the sum is 72.

The spelling of 1948649788800 in words is "one trillion, nine hundred forty-eight billion, six hundred forty-nine million, seven hundred eighty-eight thousand, eight hundred".