945602149248 has 320 divisors, whose sum is σ = 2888738899200. Its totient is φ = 306941211648.

The previous prime is 945602149243. The next prime is 945602149267. The reversal of 945602149248 is 842941206549.

945602149248 is a `hidden beast` number, since 9 + 4 + 5 + 602 + 1 + 4 + 9 + 24 + 8 = 666.

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 = 945602149194 and 945602149203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (945602149243) by changing a digit.

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 39 ways as a sum of consecutive naturals, for example, 65445961 + ... + 65460407.

It is an arithmetic number, because the mean of its divisors is an integer number (9027309060).

Almost surely, 2^945602149248 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 945602149248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1444369449600).

945602149248 is an abundant number, since it is smaller than the sum of its proper divisors (1943136749952).

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

945602149248 is a wasteful number, since it uses less digits than its factorization.

945602149248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14639 (or 14618 counting only the distinct ones).

The product of its (nonzero) digits is 4976640, while the sum is 54.

The spelling of 945602149248 in words is "nine hundred forty-five billion, six hundred two million, one hundred forty-nine thousand, two hundred forty-eight".