845970048 has 576 divisors, whose sum is σ = 3331809600. Its totient is φ = 206807040.

The previous prime is 845970029. The next prime is 845970053. The reversal of 845970048 is 840079548.

It is a tau number, because it is divible by the number of its divisors (576).

It is a super-2 number, since 2×845970048² = 1431330644226244608, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 845969985 and 845970012.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 49762936 + ... + 49762952.

Almost surely, 2^845970048 is an apocalyptic number.

845970048 is a gapful number since it is divisible by the number (88) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 845970048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1665904800).

845970048 is an abundant number, since it is smaller than the sum of its proper divisors (2485839552).

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

845970048 is a wasteful number, since it uses less digits than its factorization.

845970048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86 (or 40 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The square root of 845970048 is about 29085.5642544545. The cubic root of 845970048 is about 945.7688275949.

The spelling of 845970048 in words is "eight hundred forty-five million, nine hundred seventy thousand, forty-eight".