468463991249100 has 288 divisors, whose sum is σ = 1706608847043072. Its totient is φ = 96379372800000.

The previous prime is 468463991249099. The next prime is 468463991249119. The reversal of 468463991249100 is 1942199364864.

It is a super-2 number, since 2×468463991249100² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (66).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 98062081 + ... + 102728280.

It is an arithmetic number, because the mean of its divisors is an integer number (5925725163344).

Almost surely, 2^{468463991249100} is an apocalyptic number.

It is an amenable number.

468463991249100 is an abundant number, since it is smaller than the sum of its proper divisors (1238144855793972).

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

468463991249100 is a wasteful number, since it uses less digits than its factorization.

468463991249100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 200790497 (or 200790490 counting only the distinct ones).

The product of its (nonzero) digits is 80621568, while the sum is 66.

The spelling of 468463991249100 in words is "four hundred sixty-eight trillion, four hundred sixty-three billion, nine hundred ninety-one million, two hundred forty-nine thousand, one hundred".