488534954154624 has 960 divisors, whose sum is σ = 1626199265940480. Its totient is φ = 145370690150400.

The previous prime is 488534954154601. The next prime is 488534954154649. The reversal of 488534954154624 is 426451459435884.

488534954154624 is a `hidden beast` number, since 4 + 8 + 8 + 5 + 3 + 4 + 9 + 54 + 1 + 546 + 24 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 134545565289 + ... + 134545568919.

It is an arithmetic number, because the mean of its divisors is an integer number (1693957568688).

Almost surely, 2^{488534954154624} 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 488534954154624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (813099632970240).

488534954154624 is an abundant number, since it is smaller than the sum of its proper divisors (1137664311785856).

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

488534954154624 is a wasteful number, since it uses less digits than its factorization.

488534954154624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6191 (or 6157 counting only the distinct ones).

The product of its digits is 2654208000, while the sum is 72.

The spelling of 488534954154624 in words is "four hundred eighty-eight trillion, five hundred thirty-four billion, nine hundred fifty-four million, one hundred fifty-four thousand, six hundred twenty-four".