5081468000 has 192 divisors, whose sum is σ = 14337243648. Its totient is φ = 1733875200.

The previous prime is 5081467999. The next prime is 5081468003. The reversal of 5081468000 is 8641805.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5081468003) 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 31 ways as a sum of consecutive naturals, for example, 9715739 + ... + 9716261.

It is an arithmetic number, because the mean of its divisors is an integer number (74673144).

Almost surely, 2^5081468000 is an apocalyptic number.

5081468000 is a gapful number since it is divisible by the number (50) 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 5081468000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7168621824).

5081468000 is an abundant number, since it is smaller than the sum of its proper divisors (9255775648).

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

5081468000 is a wasteful number, since it uses less digits than its factorization.

5081468000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 902 (or 884 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 32.

The square root of 5081468000 is about 71284.4162492757. The cubic root of 5081468000 is about 1719.2131789702.

The spelling of 5081468000 in words is "five billion, eighty-one million, four hundred sixty-eight thousand".