5461045164 has 96 divisors (see below), whose sum is σ = 14456594880. Its totient is φ = 1782144000.

The previous prime is 5461045147. The next prime is 5461045223. The reversal of 5461045164 is 4615401645.

5461045164 is a `hidden beast` number, since 546 + 1 + 0 + 4 + 51 + 64 = 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 31 ways as a sum of consecutive naturals, for example, 4011844 + ... + 4013204.

It is an arithmetic number, because the mean of its divisors is an integer number (150589530).

Almost surely, 2^5461045164 is an apocalyptic number.

5461045164 is a gapful number since it is divisible by the number (54) 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 5461045164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7228297440).

5461045164 is an abundant number, since it is smaller than the sum of its proper divisors (8995549716).

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

5461045164 is a wasteful number, since it uses less digits than its factorization.

5461045164 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2128 (or 2120 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The square root of 5461045164 is about 73898.8847277143. The cubic root of 5461045164 is about 1760.9968917637.

The spelling of 5461045164 in words is "five billion, four hundred sixty-one million, forty-five thousand, one hundred sixty-four".