48446771749200 has 600 divisors, whose sum is σ = 197924989686336. Its totient is φ = 11234032128000.

The previous prime is 48446771749073. The next prime is 48446771749261. The reversal of 48446771749200 is 294717764484.

It is a happy number.

48446771749200 is a `hidden beast` number, since 4 + 84 + 4 + 67 + 7 + 1 + 7 + 492 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (600).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 5242120 + ... + 11152280.

Almost surely, 2^{48446771749200} is an apocalyptic number.

48446771749200 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 48446771749200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98962494843168).

48446771749200 is an abundant number, since it is smaller than the sum of its proper divisors (149478217937136).

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

48446771749200 is a wasteful number, since it uses less digits than its factorization.

48446771749200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5910225 (or 5910205 counting only the distinct ones).

The product of its (nonzero) digits is 75866112, while the sum is 63.

The spelling of 48446771749200 in words is "forty-eight trillion, four hundred forty-six billion, seven hundred seventy-one million, seven hundred forty-nine thousand, two hundred".