462652121100 has 144 divisors (see below), whose sum is σ = 1442355683328. Its totient is φ = 113822050560.

The previous prime is 462652121069. The next prime is 462652121119. The reversal of 462652121100 is 1121256264.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7406197 + ... + 7468403.

It is an arithmetic number, because the mean of its divisors is an integer number (10016358912).

Almost surely, 2^462652121100 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 462652121100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (721177841664).

462652121100 is an abundant number, since it is smaller than the sum of its proper divisors (979703562228).

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

462652121100 is a wasteful number, since it uses less digits than its factorization.

462652121100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64144 (or 64137 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 30.

Adding to 462652121100 its reverse (1121256264), we get a palindrome (463773377364).

The spelling of 462652121100 in words is "four hundred sixty-two billion, six hundred fifty-two million, one hundred twenty-one thousand, one hundred".