945471054528 has 2688 divisors, whose sum is σ = 4140754329600. Its totient is φ = 204957941760.

The previous prime is 945471054527. The next prime is 945471054533. The reversal of 945471054528 is 825450174549.

945471054528 is a `hidden beast` number, since 9 + 4 + 5 + 4 + 7 + 105 + 4 + 528 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (945471054523) by changing a digit.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 11967987993 + ... + 11967988071.

It is an arithmetic number, because the mean of its divisors is an integer number (1540459200).

Almost surely, 2^945471054528 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 945471054528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2070377164800).

945471054528 is an abundant number, since it is smaller than the sum of its proper divisors (3195283275072).

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

945471054528 is a wasteful number, since it uses less digits than its factorization.

945471054528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 196 (or 169 counting only the distinct ones).

The product of its (nonzero) digits is 8064000, while the sum is 54.

The spelling of 945471054528 in words is "nine hundred forty-five billion, four hundred seventy-one million, fifty-four thousand, five hundred twenty-eight".