488141893632 has 208 divisors, whose sum is σ = 1319141808992. Its totient is φ = 160526499840.

The previous prime is 488141893583. The next prime is 488141893637. The reversal of 488141893632 is 236398141884.

It is a happy number.

It is a super-4 number, since 4×488141893632⁴ (a number of 48 digits) contains 4444 as substring.

It is not an unprimeable number, because it can be changed into a prime (488141893637) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 644836998 + ... + 644837754.

Almost surely, 2^488141893632 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 488141893632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (659570904496).

488141893632 is an abundant number, since it is smaller than the sum of its proper divisors (830999915360).

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

488141893632 is an equidigital number, since it uses as much as digits as its factorization.

488141893632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1422 (or 1400 counting only the distinct ones).

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

The spelling of 488141893632 in words is "four hundred eighty-eight billion, one hundred forty-one million, eight hundred ninety-three thousand, six hundred thirty-two".