4961350368 has 144 divisors (see below), whose sum is σ = 15221527776. Its totient is φ = 1523819520.

The previous prime is 4961350351. The next prime is 4961350411. The reversal of 4961350368 is 8630531694.

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

It is a super-2 number, since 2×4961350368² = 49229994948107470848, which contains 22 as substring.

It is a congruent number.

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, 3282733 + ... + 3284243.

It is an arithmetic number, because the mean of its divisors is an integer number (105705054).

Almost surely, 2^4961350368 is an apocalyptic number.

4961350368 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 4961350368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7610763888).

4961350368 is an abundant number, since it is smaller than the sum of its proper divisors (10260177408).

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

4961350368 is a wasteful number, since it uses less digits than its factorization.

4961350368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2417 (or 2406 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 45.

The square root of 4961350368 is about 70436.8537627853. The cubic root of 4961350368 is about 1705.5585489247.

The spelling of 4961350368 in words is "four billion, nine hundred sixty-one million, three hundred fifty thousand, three hundred sixty-eight".