4845146880 has 576 divisors, whose sum is σ = 19581585408. Its totient is φ = 994836480.

The previous prime is 4845146879. The next prime is 4845146893. The reversal of 4845146880 is 886415484.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 10509850 + ... + 10510310.

It is an arithmetic number, because the mean of its divisors is an integer number (33995808).

Almost surely, 2^4845146880 is an apocalyptic number.

4845146880 is a gapful number since it is divisible by the number (40) 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 4845146880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9790792704).

4845146880 is an abundant number, since it is smaller than the sum of its proper divisors (14736438528).

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

4845146880 is a wasteful number, since it uses less digits than its factorization.

4845146880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 532 (or 518 counting only the distinct ones).

The product of its (nonzero) digits is 983040, while the sum is 48.

The square root of 4845146880 is about 69607.0892941229. The cubic root of 4845146880 is about 1692.1374958823.

The spelling of 4845146880 in words is "four billion, eight hundred forty-five million, one hundred forty-six thousand, eight hundred eighty".