1488630471552 has 384 divisors, whose sum is σ = 5093469388800. Its totient is φ = 408353218560.

The previous prime is 1488630471539. The next prime is 1488630471557. The reversal of 1488630471552 is 2551740368841.

It is a happy number.

1488630471552 is a `hidden beast` number, since 1 + 4 + 8 + 86 + 3 + 0 + 4 + 7 + 1 + 552 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1488630471557) 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, 31724524 + ... + 31771412.

It is an arithmetic number, because the mean of its divisors is an integer number (13264243200).

Almost surely, 2^{1488630471552} is an apocalyptic number.

1488630471552 is a gapful number since it is divisible by the number (12) 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 1488630471552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2546734694400).

1488630471552 is an abundant number, since it is smaller than the sum of its proper divisors (3604838917248).

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

1488630471552 is a wasteful number, since it uses less digits than its factorization.

1488630471552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47074 (or 47059 counting only the distinct ones).

The product of its (nonzero) digits is 6451200, while the sum is 54.

The spelling of 1488630471552 in words is "one trillion, four hundred eighty-eight billion, six hundred thirty million, four hundred seventy-one thousand, five hundred fifty-two".