45325527552 has 480 divisors, whose sum is σ = 141560939520. Its totient is φ = 13934592000.

The previous prime is 45325527497. The next prime is 45325527571. The reversal of 45325527552 is 25572552354.

45325527552 is a `hidden beast` number, since 4 + 5 + 325 + 5 + 275 + 52 = 666.

It is a super-2 number, since 2×45325527552² (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 45325527498 and 45325527507.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 415830474 + ... + 415830582.

It is an arithmetic number, because the mean of its divisors is an integer number (294918624).

Almost surely, 2^45325527552 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 45325527552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70780469760).

45325527552 is an abundant number, since it is smaller than the sum of its proper divisors (96235411968).

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

45325527552 is a wasteful number, since it uses less digits than its factorization.

45325527552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 276 (or 257 counting only the distinct ones).

The product of its digits is 2100000, while the sum is 45.

The spelling of 45325527552 in words is "forty-five billion, three hundred twenty-five million, five hundred twenty-seven thousand, five hundred fifty-two".