461898898164 has 144 divisors (see below), whose sum is σ = 1292302118016. Its totient is φ = 137929478400.

The previous prime is 461898898151. The next prime is 461898898183.

461898898164 is a `hidden beast` number, since 461 + 8 + 9 + 8 + 89 + 81 + 6 + 4 = 666.

461898898164 is nontrivially palindromic in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 461898898092 and 461898898101.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 102255634 + ... + 102260150.

It is an arithmetic number, because the mean of its divisors is an integer number (8974320264).

Almost surely, 2^461898898164 is an apocalyptic number.

461898898164 is a gapful number since it is divisible by the number (44) 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 461898898164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (646151059008).

461898898164 is an abundant number, since it is smaller than the sum of its proper divisors (830403219852).

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

461898898164 is a wasteful number, since it uses less digits than its factorization.

461898898164 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8246 (or 8241 counting only the distinct ones).

The product of its digits is 191102976, while the sum is 72.

The spelling of 461898898164 in words is "four hundred sixty-one billion, eight hundred ninety-eight million, eight hundred ninety-eight thousand, one hundred sixty-four".