63012268224 has 112 divisors (see below), whose sum is σ = 185326467040. Its totient is φ = 20994785280.

The previous prime is 63012268219. The next prime is 63012268237. The reversal of 63012268224 is 42286221036.

63012268224 is a `hidden beast` number, since 630 + 12 + 2 + 6 + 8 + 2 + 2 + 4 = 666.

63012268224 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×63012268224² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4681344 + ... + 4694784.

Almost surely, 2^63012268224 is an apocalyptic number.

63012268224 is a gapful number since it is divisible by the number (64) 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 63012268224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92663233520).

63012268224 is an abundant number, since it is smaller than the sum of its proper divisors (122314198816).

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

63012268224 is a wasteful number, since it uses less digits than its factorization.

63012268224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16175 (or 16159 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The spelling of 63012268224 in words is "sixty-three billion, twelve million, two hundred sixty-eight thousand, two hundred twenty-four".