468524248281960 has 256 divisors, whose sum is σ = 1579595965032960. Its totient is φ = 110308490772480.

The previous prime is 468524248281941. The next prime is 468524248282001. The reversal of 468524248281960 is 69182842425864.

It is a super-2 number, since 2×468524248281960² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (69).

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, 648959580 + ... + 649681140.

It is an arithmetic number, because the mean of its divisors is an integer number (6170296738410).

Almost surely, 2^{468524248281960} is an apocalyptic number.

468524248281960 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 468524248281960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (789797982516480).

468524248281960 is an abundant number, since it is smaller than the sum of its proper divisors (1111071716751000).

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

468524248281960 is a wasteful number, since it uses less digits than its factorization.

468524248281960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 739708 (or 739704 counting only the distinct ones).

The product of its (nonzero) digits is 424673280, while the sum is 69.

The spelling of 468524248281960 in words is "four hundred sixty-eight trillion, five hundred twenty-four billion, two hundred forty-eight million, two hundred eighty-one thousand, nine hundred sixty".