45464884696560 has 1280 divisors, whose sum is σ = 179440126525440. Its totient is φ = 9287858442240.

The previous prime is 45464884696547. The next prime is 45464884696573. The reversal of 45464884696560 is 6569648846454.

It is an interprime number because it is at equal distance from previous prime (45464884696547) and next prime (45464884696573).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 41826020337 + ... + 41826021423.

It is an arithmetic number, because the mean of its divisors is an integer number (140187598848).

Almost surely, 2^{45464884696560} is an apocalyptic number.

45464884696560 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 45464884696560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89720063262720).

45464884696560 is an abundant number, since it is smaller than the sum of its proper divisors (133975241828880).

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

45464884696560 is a wasteful number, since it uses less digits than its factorization.

45464884696560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2186 (or 2180 counting only the distinct ones).

The product of its (nonzero) digits is 4777574400, while the sum is 75.

The spelling of 45464884696560 in words is "forty-five trillion, four hundred sixty-four billion, eight hundred eighty-four million, six hundred ninety-six thousand, five hundred sixty".