45743450177664 has 128 divisors (see below), whose sum is σ = 135140523384000. Its totient is φ = 15232703754240.

The previous prime is 45743450177639. The next prime is 45743450177683. The reversal of 45743450177664 is 46677105434754.

45743450177664 is a `hidden beast` number, since 4 + 5 + 7 + 4 + 3 + 450 + 177 + 6 + 6 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (128).

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 3071842 + ... + 10046049.

Almost surely, 2^{45743450177664} is an apocalyptic number.

It is an amenable number.

45743450177664 is an abundant number, since it is smaller than the sum of its proper divisors (89397073206336).

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

45743450177664 is a wasteful number, since it uses less digits than its factorization.

45743450177664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13118923 (or 13118905 counting only the distinct ones).

The product of its (nonzero) digits is 237081600, while the sum is 63.

The spelling of 45743450177664 in words is "forty-five trillion, seven hundred forty-three billion, four hundred fifty million, one hundred seventy-seven thousand, six hundred sixty-four".