45577078880256 has 3456 divisors, whose sum is σ = 185697308160000. Its totient is φ = 11061279129600.

The previous prime is 45577078880237. The next prime is 45577078880261. The reversal of 45577078880256 is 65208887077554.

45577078880256 is a `hidden beast` number, since 45 + 577 + 0 + 7 + 8 + 8 + 8 + 0 + 2 + 5 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (3456).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 1470228350961 + ... + 1470228350991.

It is an arithmetic number, because the mean of its divisors is an integer number (53731860000).

Almost surely, 2^{45577078880256} 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 45577078880256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92848654080000).

45577078880256 is an abundant number, since it is smaller than the sum of its proper divisors (140120229279744).

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

45577078880256 is an frugal number, since it uses more digits than its factorization.

45577078880256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138 (or 83 counting only the distinct ones).

The product of its (nonzero) digits is 1053696000, while the sum is 72.

The spelling of 45577078880256 in words is "forty-five trillion, five hundred seventy-seven billion, seventy-eight million, eight hundred eighty thousand, two hundred fifty-six".