16461534005460 has 288 divisors, whose sum is σ = 52031947968000. Its totient is φ = 4209193320192.

The previous prime is 16461534005447. The next prime is 16461534005537. The reversal of 16461534005460 is 6450043516461.

16461534005460 is a `hidden beast` number, since 1 + 6 + 4 + 6 + 1 + 534 + 0 + 0 + 54 + 60 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

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, 337447351 + ... + 337496129.

It is an arithmetic number, because the mean of its divisors is an integer number (180666486000).

Almost surely, 2^{16461534005460} is an apocalyptic number.

16461534005460 is a gapful number since it is divisible by the number (10) 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 16461534005460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26015973984000).

16461534005460 is an abundant number, since it is smaller than the sum of its proper divisors (35570413962540).

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

16461534005460 is a wasteful number, since it uses less digits than its factorization.

16461534005460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49635 (or 49630 counting only the distinct ones).

The product of its (nonzero) digits is 1036800, while the sum is 45.

The spelling of 16461534005460 in words is "sixteen trillion, four hundred sixty-one billion, five hundred thirty-four million, five thousand, four hundred sixty".