468158500342260 has 384 divisors, whose sum is σ = 1792700572400640. Its totient is φ = 98771137855488.

The previous prime is 468158500342249. The next prime is 468158500342279. The reversal of 468158500342260 is 62243005851864.

468158500342260 is a `hidden beast` number, since 4 + 6 + 8 + 1 + 58 + 500 + 3 + 4 + 22 + 60 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 468158500342197 and 468158500342206.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 979465252 + ... + 979943108.

It is an arithmetic number, because the mean of its divisors is an integer number (4668491073960).

Almost surely, 2^{468158500342260} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 468158500342260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (896350286200320).

468158500342260 is an abundant number, since it is smaller than the sum of its proper divisors (1324542072058380).

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

468158500342260 is a wasteful number, since it uses less digits than its factorization.

468158500342260 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 497832 (or 497824 counting only the distinct ones).

The product of its (nonzero) digits is 11059200, while the sum is 54.

The spelling of 468158500342260 in words is "four hundred sixty-eight trillion, one hundred fifty-eight billion, five hundred million, three hundred forty-two thousand, two hundred sixty".