45563986051584 has 2560 divisors, whose sum is σ = 177903493447680. Its totient is φ = 9977344819200.

The previous prime is 45563986051471. The next prime is 45563986051621. The reversal of 45563986051584 is 48515068936554.

It is a Harshad number since it is a multiple of its sum of digits (69).

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, 97567421719 + ... + 97567422185.

It is an arithmetic number, because the mean of its divisors is an integer number (69493552128).

Almost surely, 2^{45563986051584} is an apocalyptic number.

45563986051584 is a gapful number since it is divisible by the number (44) 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 45563986051584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88951746723840).

45563986051584 is an abundant number, since it is smaller than the sum of its proper divisors (132339507396096).

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

45563986051584 is a wasteful number, since it uses less digits than its factorization.

45563986051584 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 662 (or 646 counting only the distinct ones).

The product of its (nonzero) digits is 622080000, while the sum is 69.

The spelling of 45563986051584 in words is "forty-five trillion, five hundred sixty-three billion, nine hundred eighty-six million, fifty-one thousand, five hundred eighty-four".