45060624576 has 252 divisors, whose sum is σ = 143368375696. Its totient is φ = 13520010240.

The previous prime is 45060624559. The next prime is 45060624577. The reversal of 45060624576 is 67542606054.

45060624576 is a `hidden beast` number, since 4 + 50 + 6 + 0 + 6 + 24 + 576 = 666.

It is not an unprimeable number, because it can be changed into a prime (45060624577) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 7175550 + ... + 7181826.

Almost surely, 2^45060624576 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 45060624576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71684187848).

45060624576 is an abundant number, since it is smaller than the sum of its proper divisors (98307751120).

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

45060624576 is a wasteful number, since it uses less digits than its factorization.

45060624576 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6420 (or 6396 counting only the distinct ones).

The product of its (nonzero) digits is 1209600, while the sum is 45.

The spelling of 45060624576 in words is "forty-five billion, sixty million, six hundred twenty-four thousand, five hundred seventy-six".