47451628224 has 672 divisors, whose sum is σ = 190692633600. Its totient is φ = 11374110720.

The previous prime is 47451628183. The next prime is 47451628229. The reversal of 47451628224 is 42282615474.

47451628224 is a `hidden beast` number, since 47 + 451 + 62 + 82 + 24 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a super-2 number, since 2×47451628224² (a number of 22 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 47451628224.

It is not an unprimeable number, because it can be changed into a prime (47451628229) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 12106137 + ... + 12110055.

It is an arithmetic number, because the mean of its divisors is an integer number (283768800).

Almost surely, 2^47451628224 is an apocalyptic number.

47451628224 is a gapful number since it is divisible by the number (44) 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 47451628224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95346316800).

47451628224 is an abundant number, since it is smaller than the sum of its proper divisors (143241005376).

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

47451628224 is a wasteful number, since it uses less digits than its factorization.

47451628224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3978 (or 3955 counting only the distinct ones).

The product of its digits is 860160, while the sum is 45.

The spelling of 47451628224 in words is "forty-seven billion, four hundred fifty-one million, six hundred twenty-eight thousand, two hundred twenty-four".