488132246203200 has 3360 divisors, whose sum is σ = 2028314179584000. Its totient is φ = 114607142092800.

The previous prime is 488132246203183. The next prime is 488132246203211. The reversal of 488132246203200 is 2302642231884.

488132246203200 is a `hidden beast` number, since 4 + 8 + 8 + 13 + 2 + 2 + 4 + 620 + 3 + 2 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 218013507681 + ... + 218013509919.

It is an arithmetic number, because the mean of its divisors is an integer number (603664934400).

Almost surely, 2^{488132246203200} is an apocalyptic number.

488132246203200 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 488132246203200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1014157089792000).

488132246203200 is an abundant number, since it is smaller than the sum of its proper divisors (1540181933380800).

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

488132246203200 is a wasteful number, since it uses less digits than its factorization.

488132246203200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2435 (or 2411 counting only the distinct ones).

The product of its (nonzero) digits is 884736, while the sum is 45.

The spelling of 488132246203200 in words is "four hundred eighty-eight trillion, one hundred thirty-two billion, two hundred forty-six million, two hundred three thousand, two hundred".