332048247552 has 648 divisors, whose sum is σ = 1217450812032. Its totient is φ = 86394470400.

The previous prime is 332048247539. The next prime is 332048247593. The reversal of 332048247552 is 255742840233.

332048247552 is a `hidden beast` number, since 3 + 32 + 0 + 48 + 24 + 7 + 552 = 666.

It is a super-2 number, since 2×332048247552² (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 332048247498 and 332048247507.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 59493402 + ... + 59498982.

Almost surely, 2^332048247552 is an apocalyptic number.

332048247552 is a gapful number since it is divisible by the number (32) 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 332048247552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (608725406016).

332048247552 is an abundant number, since it is smaller than the sum of its proper divisors (885402564480).

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

332048247552 is a wasteful number, since it uses less digits than its factorization.

332048247552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5665 (or 5641 counting only the distinct ones).

The product of its (nonzero) digits is 1612800, while the sum is 45.

The spelling of 332048247552 in words is "three hundred thirty-two billion, forty-eight million, two hundred forty-seven thousand, five hundred fifty-two".