45753071616 has 720 divisors, whose sum is σ = 165320915760. Its totient is φ = 12342067200.

The previous prime is 45753071599. The next prime is 45753071621. The reversal of 45753071616 is 61617035754.

45753071616 is a `hidden beast` number, since 4 + 57 + 530 + 7 + 1 + 61 + 6 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 1115928556 + ... + 1115928596.

It is an arithmetic number, because the mean of its divisors is an integer number (229612383).

Almost surely, 2^45753071616 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 45753071616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82660457880).

45753071616 is an abundant number, since it is smaller than the sum of its proper divisors (119567844144).

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

45753071616 is an equidigital number, since it uses as much as digits as its factorization.

45753071616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 144 (or 84 counting only the distinct ones).

The product of its (nonzero) digits is 529200, while the sum is 45.

The spelling of 45753071616 in words is "forty-five billion, seven hundred fifty-three million, seventy-one thousand, six hundred sixteen".