4791197952 has 126 divisors (see below), whose sum is σ = 14339519502. Its totient is φ = 1597003776.

The previous prime is 4791197923. The next prime is 4791197953. The reversal of 4791197952 is 2597911974.

4791197952 is a `hidden beast` number, since 479 + 119 + 7 + 9 + 52 = 666.

It can be written as a sum of positive squares in only one way, i.e., 4600094976 + 191102976 = 67824^2 + 13824^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (4791197953) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 173788 + ... + 199460.

Almost surely, 2^4791197952 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 4791197952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7169759751).

4791197952 is an abundant number, since it is smaller than the sum of its proper divisors (9548321550).

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

4791197952 is an frugal number, since it uses more digits than its factorization.

4791197952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25707 (or 25678 counting only the distinct ones).

The product of its digits is 1428840, while the sum is 54.

The square root of 4791197952 is about 69218.4798446195. The cubic root of 4791197952 is about 1685.8335976398.

The spelling of 4791197952 in words is "four billion, seven hundred ninety-one million, one hundred ninety-seven thousand, nine hundred fifty-two".