5459961546 has 64 divisors (see below), whose sum is σ = 13188873600. Its totient is φ = 1664264448.

The previous prime is 5459961541. The next prime is 5459961571. The reversal of 5459961546 is 6451699545.

5459961546 is a `hidden beast` number, since 5 + 4 + 5 + 9 + 96 + 1 + 546 = 666.

It is a super-2 number, since 2×5459961546² = 59622360167597420232, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 5459961492 and 5459961501.

It is not an unprimeable number, because it can be changed into a prime (5459961541) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 38770 + ... + 111458.

It is an arithmetic number, because the mean of its divisors is an integer number (206076150).

Almost surely, 2^5459961546 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5459961546, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6594436800).

5459961546 is an abundant number, since it is smaller than the sum of its proper divisors (7728912054).

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

5459961546 is a wasteful number, since it uses less digits than its factorization.

5459961546 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72820 (or 72814 counting only the distinct ones).

The product of its digits is 5832000, while the sum is 54.

The square root of 5459961546 is about 73891.5526024457. The cubic root of 5459961546 is about 1760.8804077023.

The spelling of 5459961546 in words is "five billion, four hundred fifty-nine million, nine hundred sixty-one thousand, five hundred forty-six".