468019921152 has 288 divisors, whose sum is σ = 1491082629120. Its totient is φ = 127421521920.

The previous prime is 468019921139. The next prime is 468019921363. The reversal of 468019921152 is 251129910864.

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 31 ways as a sum of consecutive naturals, for example, 33254277 + ... + 33268347.

It is an arithmetic number, because the mean of its divisors is an integer number (5177370240).

Almost surely, 2^468019921152 is an apocalyptic number.

468019921152 is a gapful number since it is divisible by the number (42) 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 468019921152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (745541314560).

468019921152 is an abundant number, since it is smaller than the sum of its proper divisors (1023062707968).

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

468019921152 is a wasteful number, since it uses less digits than its factorization.

468019921152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14389 (or 14375 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 48.

The spelling of 468019921152 in words is "four hundred sixty-eight billion, nineteen million, nine hundred twenty-one thousand, one hundred fifty-two".