462868211127000 has 1536 divisors, whose sum is σ = 1837922689474560. Its totient is φ = 96268677120000.

The previous prime is 462868211126999. The next prime is 462868211127043. The reversal of 462868211127000 is 721112868264.

It is a happy number.

It is a super-2 number, since 2×462868211127000² (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 102336546739 + ... + 102336551261.

It is an arithmetic number, because the mean of its divisors is an integer number (1196564250960).

Almost surely, 2^{462868211127000} is an apocalyptic number.

462868211127000 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 462868211127000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (918961344737280).

462868211127000 is an abundant number, since it is smaller than the sum of its proper divisors (1375054478347560).

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

462868211127000 is a wasteful number, since it uses less digits than its factorization.

462868211127000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5930 (or 5909 counting only the distinct ones).

The product of its (nonzero) digits is 516096, while the sum is 48.

The spelling of 462868211127000 in words is "four hundred sixty-two trillion, eight hundred sixty-eight billion, two hundred eleven million, one hundred twenty-seven thousand".