4961809248 has 144 divisors (see below), whose sum is σ = 14500362240. Its totient is φ = 1484271360.

The previous prime is 4961809247. The next prime is 4961809249. The reversal of 4961809248 is 8429081694.

It is an interprime number because it is at equal distance from previous prime (4961809247) and next prime (4961809249).

It is a self number, because there is not a number n which added to its sum of digits gives 4961809248.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4961809247) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 914961 + ... + 920367.

It is an arithmetic number, because the mean of its divisors is an integer number (100696960).

Almost surely, 2^4961809248 is an apocalyptic number.

4961809248 is a gapful number since it is divisible by the number (48) 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 4961809248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7250181120).

4961809248 is an abundant number, since it is smaller than the sum of its proper divisors (9538552992).

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

4961809248 is a wasteful number, since it uses less digits than its factorization.

4961809248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5521 (or 5502 counting only the distinct ones).

The product of its (nonzero) digits is 995328, while the sum is 51.

The square root of 4961809248 is about 70440.1110731663. Note that the first 3 decimals coincide. The cubic root of 4961809248 is about 1705.6111302128.

The spelling of 4961809248 in words is "four billion, nine hundred sixty-one million, eight hundred nine thousand, two hundred forty-eight".