48444292630800 has 1800 divisors, whose sum is σ = 203073585849288. Its totient is φ = 11013569740800.

The previous prime is 48444292630777. The next prime is 48444292630801. The reversal of 48444292630800 is 803629244484.

It is a happy number.

48444292630800 is a `hidden beast` number, since 4 + 8 + 4 + 44 + 292 + 6 + 308 + 0 + 0 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 23401754551296 + 25042538079504 = 4837536^2 + 5004252^2 .

It is a tau number, because it is divible by the number of its divisors (1800).

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 (48444292630801) by changing a digit.

It is a polite number, since it can be written in 359 ways as a sum of consecutive naturals, for example, 21127034454 + ... + 21127036746.

Almost surely, 2^{48444292630800} is an apocalyptic number.

48444292630800 is a gapful number since it is divisible by the number (40) 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 48444292630800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101536792924644).

48444292630800 is an abundant number, since it is smaller than the sum of its proper divisors (154629293218488).

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

48444292630800 is a wasteful number, since it uses less digits than its factorization.

48444292630800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2679 (or 2648 counting only the distinct ones).

The product of its (nonzero) digits is 10616832, while the sum is 54.

The spelling of 48444292630800 in words is "forty-eight trillion, four hundred forty-four billion, two hundred ninety-two million, six hundred thirty thousand, eight hundred".