45756057600 has 1440 divisors, whose sum is σ = 199070071200. Its totient is φ = 10262937600.

The previous prime is 45756057593. The next prime is 45756057643. The reversal of 45756057600 is 675065754.

45756057600 is a `hidden beast` number, since 4 + 5 + 75 + 6 + 0 + 576 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 775526371 + ... + 775526429.

It is an arithmetic number, because the mean of its divisors is an integer number (138243105).

Almost surely, 2^45756057600 is an apocalyptic number.

45756057600 is a gapful number since it is divisible by the number (40) 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 45756057600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99535035600).

45756057600 is an abundant number, since it is smaller than the sum of its proper divisors (153314013600).

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

45756057600 is a wasteful number, since it uses less digits than its factorization.

45756057600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131 (or 97 counting only the distinct ones).

The product of its (nonzero) digits is 882000, while the sum is 45.

The spelling of 45756057600 in words is "forty-five billion, seven hundred fifty-six million, fifty-seven thousand, six hundred".