45318661545024 has 1512 divisors, whose sum is σ = 170494464984480. Its totient is φ = 11867360440320.

The previous prime is 45318661545019. The next prime is 45318661545071. The reversal of 45318661545024 is 42054516681354.

45318661545024 is a `hidden beast` number, since 4 + 5 + 3 + 1 + 86 + 6 + 1 + 54 + 502 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (1512).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 13914232804 + ... + 13914236060.

It is an arithmetic number, because the mean of its divisors is an integer number (112760889540).

Almost surely, 2^{45318661545024} 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 45318661545024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85247232492240).

45318661545024 is an abundant number, since it is smaller than the sum of its proper divisors (125175803439456).

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

45318661545024 is a wasteful number, since it uses less digits than its factorization.

45318661545024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3379 (or 3319 counting only the distinct ones).

The product of its (nonzero) digits is 13824000, while the sum is 54.

The spelling of 45318661545024 in words is "forty-five trillion, three hundred eighteen billion, six hundred sixty-one million, five hundred forty-five thousand, twenty-four".