45019618560 has 1728 divisors, whose sum is σ = 205705543680. Its totient is φ = 9196830720.

The previous prime is 45019618517. The next prime is 45019618619. The reversal of 45019618560 is 6581691054.

45019618560 is a `hidden beast` number, since 4 + 501 + 9 + 6 + 1 + 85 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (1728).

It is a super-3 number, since 3×45019618560³ (a number of 33 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1452245745 + ... + 1452245775.

It is an arithmetic number, because the mean of its divisors is an integer number (119042560).

Almost surely, 2^45019618560 is an apocalyptic number.

45019618560 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 45019618560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102852771840).

45019618560 is an abundant number, since it is smaller than the sum of its proper divisors (160685925120).

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

45019618560 is a wasteful number, since it uses less digits than its factorization.

45019618560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 126 (or 100 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 45.

The spelling of 45019618560 in words is "forty-five billion, nineteen million, six hundred eighteen thousand, five hundred sixty".