45609174072 has 192 divisors, whose sum is σ = 154138982400. Its totient is φ = 11836235520.

The previous prime is 45609174067. The next prime is 45609174113. The reversal of 45609174072 is 27047190654.

45609174072 is a `hidden beast` number, since 4 + 560 + 9 + 17 + 4 + 0 + 72 = 666.

It is a super-2 number, since 2×45609174072² (a number of 22 digits) contains 22 as substring.

It is a congruent number.

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, 7974958 + ... + 7980674.

It is an arithmetic number, because the mean of its divisors is an integer number (802807200).

Almost surely, 2^45609174072 is an apocalyptic number.

45609174072 is a gapful number since it is divisible by the number (42) 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 45609174072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77069491200).

45609174072 is an abundant number, since it is smaller than the sum of its proper divisors (108529808328).

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

45609174072 is a wasteful number, since it uses less digits than its factorization.

45609174072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7186 (or 7179 counting only the distinct ones).

The product of its (nonzero) digits is 423360, while the sum is 45.

The spelling of 45609174072 in words is "forty-five billion, six hundred nine million, one hundred seventy-four thousand, seventy-two".