4619825106 has 192 divisors, whose sum is σ = 11288954880. Its totient is φ = 1250242560.

The previous prime is 4619825051. The next prime is 4619825107. The reversal of 4619825106 is 6015289164.

It is a super-2 number, since 2×4619825106² = 42685568020055822472, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (4619825107) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 24187471 + ... + 24187661.

It is an arithmetic number, because the mean of its divisors is an integer number (58796640).

Almost surely, 2^4619825106 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4619825106, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5644477440).

4619825106 is an abundant number, since it is smaller than the sum of its proper divisors (6669129774).

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

4619825106 is a wasteful number, since it uses less digits than its factorization.

4619825106 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 309 (or 292 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 42.

The square root of 4619825106 is about 67969.2953178124. The cubic root of 4619825106 is about 1665.4892923007.

The spelling of 4619825106 in words is "four billion, six hundred nineteen million, eight hundred twenty-five thousand, one hundred six".