488975785144 has 192 divisors, whose sum is σ = 1203082675200. Its totient is φ = 184045478400.

The previous prime is 488975785127. The next prime is 488975785147. The reversal of 488975785144 is 441587579884.

It is a super-2 number, since 2×488975785144² (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (488975785147) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 85948252 + ... + 85953940.

It is an arithmetic number, because the mean of its divisors is an integer number (6266055600).

Almost surely, 2^488975785144 is an apocalyptic number.

488975785144 is a gapful number since it is divisible by the number (44) 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 488975785144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (601541337600).

488975785144 is an abundant number, since it is smaller than the sum of its proper divisors (714106890056).

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

488975785144 is a wasteful number, since it uses less digits than its factorization.

488975785144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6394 (or 6383 counting only the distinct ones).

The product of its digits is 361267200, while the sum is 70.

The spelling of 488975785144 in words is "four hundred eighty-eight billion, nine hundred seventy-five million, seven hundred eighty-five thousand, one hundred forty-four".