845619810048 has 288 divisors, whose sum is σ = 2834746745600. Its totient is φ = 246495965184.

The previous prime is 845619810037. The next prime is 845619810071. The reversal of 845619810048 is 840018916548.

It is a happy number.

845619810048 is a `hidden beast` number, since 8 + 4 + 5 + 619 + 8 + 10 + 0 + 4 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is a junction number, because it is equal to n+sod(n) for n = 845619809976 and 845619810003.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1459611 + ... + 1954917.

Almost surely, 2^845619810048 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 845619810048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1417373372800).

845619810048 is an abundant number, since it is smaller than the sum of its proper divisors (1989126935552).

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

845619810048 is a wasteful number, since it uses less digits than its factorization.

845619810048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 495364 (or 495344 counting only the distinct ones).

The product of its (nonzero) digits is 2211840, while the sum is 54.

The spelling of 845619810048 in words is "eight hundred forty-five billion, six hundred nineteen million, eight hundred ten thousand, forty-eight".