1945991548800 has 1152 divisors, whose sum is σ = 7667633719200. Its totient is φ = 467007897600.

The previous prime is 1945991548777. The next prime is 1945991548801. The reversal of 1945991548800 is 88451995491.

1945991548800 is a `hidden beast` number, since 1 + 9 + 4 + 5 + 9 + 9 + 1 + 548 + 80 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1945991548801) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 3174537294 + ... + 3174537906.

Almost surely, 2^{1945991548800} is an apocalyptic number.

1945991548800 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 1945991548800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3833816859600).

1945991548800 is an abundant number, since it is smaller than the sum of its proper divisors (5721642170400).

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

1945991548800 is a wasteful number, since it uses less digits than its factorization.

1945991548800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 856 (or 836 counting only the distinct ones).

The product of its (nonzero) digits is 18662400, while the sum is 63.

The spelling of 1945991548800 in words is "one trillion, nine hundred forty-five billion, nine hundred ninety-one million, five hundred forty-eight thousand, eight hundred".