4725117216 has 144 divisors (see below), whose sum is σ = 13962993408. Its totient is φ = 1514073600.

The previous prime is 4725117203. The next prime is 4725117251. The reversal of 4725117216 is 6127115274.

4725117216 is a `hidden beast` number, since 4 + 72 + 511 + 72 + 1 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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 23 ways as a sum of consecutive naturals, for example, 1400011 + ... + 1403381.

It is an arithmetic number, because the mean of its divisors is an integer number (96965232).

Almost surely, 2^4725117216 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4725117216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6981496704).

4725117216 is an abundant number, since it is smaller than the sum of its proper divisors (9237876192).

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

4725117216 is a wasteful number, since it uses less digits than its factorization.

4725117216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3575 (or 3564 counting only the distinct ones).

The product of its digits is 23520, while the sum is 36.

The square root of 4725117216 is about 68739.4880399905. The cubic root of 4725117216 is about 1678.0472890119.

The spelling of 4725117216 in words is "four billion, seven hundred twenty-five million, one hundred seventeen thousand, two hundred sixteen".