845352950400 has 576 divisors, whose sum is σ = 3462572131200. Its totient is φ = 192369254400.

The previous prime is 845352950371. The next prime is 845352950401. The reversal of 845352950400 is 4059253548.

845352950400 is a `hidden beast` number, since 8 + 4 + 535 + 29 + 50 + 40 + 0 = 666.

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

It is a super-2 number, since 2×845352950400² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (845352950401) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 46157245 + ... + 46175555.

It is an arithmetic number, because the mean of its divisors is an integer number (6011409950).

Almost surely, 2^845352950400 is an apocalyptic number.

845352950400 is a gapful number since it is divisible by the number (80) 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 845352950400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1731286065600).

845352950400 is an abundant number, since it is smaller than the sum of its proper divisors (2617219180800).

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

845352950400 is a wasteful number, since it uses less digits than its factorization.

845352950400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18577 (or 18557 counting only the distinct ones).

The product of its (nonzero) digits is 864000, while the sum is 45.

The spelling of 845352950400 in words is "eight hundred forty-five billion, three hundred fifty-two million, nine hundred fifty thousand, four hundred".