488437734884 has 96 divisors (see below), whose sum is σ = 984552468480. Its totient is φ = 209986819200.

The previous prime is 488437734881. The next prime is 488437734887.

488437734884 is nontrivially palindromic in base 10.

It is an interprime number because it is at equal distance from previous prime (488437734881) and next prime (488437734887).

It is a super-2 number, since 2×488437734884² (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (488437734881) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13904807 + ... + 13939889.

It is an arithmetic number, because the mean of its divisors is an integer number (10255754880).

Almost surely, 2^488437734884 is an apocalyptic number.

488437734884 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

488437734884 is an abundant number, since it is smaller than the sum of its proper divisors (496114733596).

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

488437734884 is a wasteful number, since it uses less digits than its factorization.

488437734884 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35361 (or 35359 counting only the distinct ones).

The product of its digits is 462422016, while the sum is 68.

The spelling of 488437734884 in words is "four hundred eighty-eight billion, four hundred thirty-seven million, seven hundred thirty-four thousand, eight hundred eighty-four".