45451749456768 has 64 divisors (see below), whose sum is σ = 120733761064320. Its totient is φ = 15150262955520.

The previous prime is 45451749456767. The next prime is 45451749456859. The reversal of 45451749456768 is 86765494715454.

It is a tau number, because it is divible by the number of its divisors (64).

It is a self number, because there is not a number n which added to its sum of digits gives 45451749456768.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45451749456767) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 17300203 + ... + 19753493.

It is an arithmetic number, because the mean of its divisors is an integer number (1886465016630).

Almost surely, 2^{45451749456768} is an apocalyptic number.

45451749456768 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

45451749456768 is an abundant number, since it is smaller than the sum of its proper divisors (75282011607552).

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

45451749456768 is a wasteful number, since it uses less digits than its factorization.

45451749456768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2501555 (or 2501543 counting only the distinct ones).

The product of its digits is 4064256000, while the sum is 75.

The spelling of 45451749456768 in words is "forty-five trillion, four hundred fifty-one billion, seven hundred forty-nine million, four hundred fifty-six thousand, seven hundred sixty-eight".