488046492192 has 384 divisors, whose sum is σ = 1593491816448. Its totient is φ = 127733760000.

The previous prime is 488046492151. The next prime is 488046492203. The reversal of 488046492192 is 291294640884.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 46470942 + ... + 46481442.

It is an arithmetic number, because the mean of its divisors is an integer number (4149718272).

Almost surely, 2^488046492192 is an apocalyptic number.

488046492192 is a gapful number since it is divisible by the number (42) 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 488046492192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (796745908224).

488046492192 is an abundant number, since it is smaller than the sum of its proper divisors (1105445324256).

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

488046492192 is a wasteful number, since it uses less digits than its factorization.

488046492192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10672 (or 10664 counting only the distinct ones).

The product of its (nonzero) digits is 7962624, while the sum is 57.

The spelling of 488046492192 in words is "four hundred eighty-eight billion, forty-six million, four hundred ninety-two thousand, one hundred ninety-two".