45948296592 has 240 divisors, whose sum is σ = 151056135360. Its totient is φ = 12882124800.

The previous prime is 45948296567. The next prime is 45948296617. The reversal of 45948296592 is 29569284954.

45948296592 is a `hidden beast` number, since 4 + 5 + 9 + 482 + 9 + 65 + 92 = 666.

It is an interprime number because it is at equal distance from previous prime (45948296567) and next prime (45948296617).

It is a super-2 number, since 2×45948296592² (a number of 22 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1574292 + ... + 1603212.

It is an arithmetic number, because the mean of its divisors is an integer number (629400564).

Almost surely, 2^45948296592 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 45948296592, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75528067680).

45948296592 is an abundant number, since it is smaller than the sum of its proper divisors (105107838768).

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

45948296592 is a wasteful number, since it uses less digits than its factorization.

45948296592 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29022 (or 29013 counting only the distinct ones).

The product of its digits is 55987200, while the sum is 63.

The spelling of 45948296592 in words is "forty-five billion, nine hundred forty-eight million, two hundred ninety-six thousand, five hundred ninety-two".