488364351552 has 896 divisors, whose sum is σ = 1832709242880. Its totient is φ = 123858616320.

The previous prime is 488364351551. The next prime is 488364351557. The reversal of 488364351552 is 255153463884.

488364351552 is a `hidden beast` number, since 4 + 8 + 8 + 36 + 4 + 3 + 51 + 552 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

Its product of digits (13824000) is a multiple of the sum of its prime divisors (600).

It is not an unprimeable number, because it can be changed into a prime (488364351551) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1330692873 + ... + 1330693239.

Almost surely, 2^488364351552 is an apocalyptic number.

488364351552 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 488364351552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (916354621440).

488364351552 is an abundant number, since it is smaller than the sum of its proper divisors (1344344891328).

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

488364351552 is a wasteful number, since it uses less digits than its factorization.

488364351552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 616 (or 600 counting only the distinct ones).

The product of its digits is 13824000, while the sum is 54.

The spelling of 488364351552 in words is "four hundred eighty-eight billion, three hundred sixty-four million, three hundred fifty-one thousand, five hundred fifty-two".