5431461516 has 144 divisors (see below), whose sum is σ = 15323712768. Its totient is φ = 1610841600.

The previous prime is 5431461493. The next prime is 5431461551. The reversal of 5431461516 is 6151641345.

5431461516 is a `hidden beast` number, since 5 + 4 + 31 + 4 + 615 + 1 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 4598446 + ... + 4599626.

It is an arithmetic number, because the mean of its divisors is an integer number (106414672).

Almost surely, 2^5431461516 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 5431461516, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7661856384).

5431461516 is an abundant number, since it is smaller than the sum of its proper divisors (9892251252).

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

5431461516 is a wasteful number, since it uses less digits than its factorization.

5431461516 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1552 (or 1547 counting only the distinct ones).

The product of its digits is 43200, while the sum is 36.

The square root of 5431461516 is about 73698.4498887188. The cubic root of 5431461516 is about 1757.8112336000.

The spelling of 5431461516 in words is "five billion, four hundred thirty-one million, four hundred sixty-one thousand, five hundred sixteen".