5460361146 has 96 divisors (see below), whose sum is σ = 12715859520. Its totient is φ = 1755022464.

The previous prime is 5460361139. The next prime is 5460361147. The reversal of 5460361146 is 6411630645.

It is a happy number.

5460361146 is a `hidden beast` number, since 5 + 4 + 603 + 6 + 1 + 1 + 46 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 5460361146.

It is not an unprimeable number, because it can be changed into a prime (5460361147) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1517926 + ... + 1521518.

It is an arithmetic number, because the mean of its divisors is an integer number (132456870).

Almost surely, 2^5460361146 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5460361146, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6357929760).

5460361146 is an abundant number, since it is smaller than the sum of its proper divisors (7255498374).

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

5460361146 is a wasteful number, since it uses less digits than its factorization.

5460361146 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3722 (or 3710 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 5460361146 is about 73894.2565156454. The cubic root of 5460361146 is about 1760.9233646987.

The spelling of 5460361146 in words is "five billion, four hundred sixty million, three hundred sixty-one thousand, one hundred forty-six".