632048114880 has 1344 divisors, whose sum is σ = 2862432639360. Its totient is φ = 130056192000.

The previous prime is 632048114783. The next prime is 632048114881. The reversal of 632048114880 is 88411840236.

632048114880 is a `hidden beast` number, since 6 + 3 + 20 + 481 + 148 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (632048114881) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 225649480 + ... + 225652280.

It is an arithmetic number, because the mean of its divisors is an integer number (2129786190).

Almost surely, 2^632048114880 is an apocalyptic number.

632048114880 is a gapful number since it is divisible by the number (60) 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 632048114880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1431216319680).

632048114880 is an abundant number, since it is smaller than the sum of its proper divisors (2230384524480).

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

632048114880 is a wasteful number, since it uses less digits than its factorization.

632048114880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2895 (or 2872 counting only the distinct ones).

The product of its (nonzero) digits is 294912, while the sum is 45.

The spelling of 632048114880 in words is "six hundred thirty-two billion, forty-eight million, one hundred fourteen thousand, eight hundred eighty".