4916232468000 has 960 divisors, whose sum is σ = 20930393772288. Its totient is φ = 1106904268800.

The previous prime is 4916232467989. The next prime is 4916232468001. The reversal of 4916232468000 is 8642326194.

4916232468000 is a `hidden beast` number, since 491 + 62 + 3 + 24 + 6 + 80 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (4916232468001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 151939824 + ... + 151972176.

Almost surely, 2^{4916232468000} is an apocalyptic number.

4916232468000 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 4916232468000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10465196886144).

4916232468000 is an abundant number, since it is smaller than the sum of its proper divisors (16014161304288).

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

4916232468000 is a wasteful number, since it uses less digits than its factorization.

4916232468000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32464 (or 32437 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 45.

The spelling of 4916232468000 in words is "four trillion, nine hundred sixteen billion, two hundred thirty-two million, four hundred sixty-eight thousand".