45759766233600 has 960 divisors, whose sum is σ = 170377539425280. Its totient is φ = 12177977425920.

The previous prime is 45759766233481. The next prime is 45759766233607. The reversal of 45759766233600 is 633266795754.

45759766233600 is a `hidden beast` number, since 4 + 5 + 7 + 597 + 6 + 6 + 2 + 3 + 36 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

It is not an unprimeable number, because it can be changed into a prime (45759766233607) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 16992113854 + ... + 16992116546.

It is an arithmetic number, because the mean of its divisors is an integer number (177476603568).

Almost surely, 2^{45759766233600} is an apocalyptic number.

45759766233600 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 45759766233600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85188769712640).

45759766233600 is an abundant number, since it is smaller than the sum of its proper divisors (124617773191680).

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

45759766233600 is an frugal number, since it uses more digits than its factorization.

45759766233600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3349 (or 3310 counting only the distinct ones).

The product of its (nonzero) digits is 171460800, while the sum is 63.

The spelling of 45759766233600 in words is "forty-five trillion, seven hundred fifty-nine billion, seven hundred sixty-six million, two hundred thirty-three thousand, six hundred".