945609847346736 has 1600 divisors, whose sum is σ = 3313200032626176. Its totient is φ = 257658469171200.

The previous prime is 945609847346719. The next prime is 945609847346753. The reversal of 945609847346736 is 637643748906549.

945609847346736 is a `hidden beast` number, since 9 + 4 + 5 + 6 + 0 + 9 + 84 + 73 + 467 + 3 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (945609847346719) and next prime (945609847346753).

It is a Harshad number since it is a multiple of its sum of digits (81).

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 293941511400 + ... + 293941514616.

Almost surely, 2^{945609847346736} 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 945609847346736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1656600016313088).

945609847346736 is an abundant number, since it is smaller than the sum of its proper divisors (2367590185279440).

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

945609847346736 is a wasteful number, since it uses less digits than its factorization.

945609847346736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3444 (or 3414 counting only the distinct ones).

The product of its (nonzero) digits is 19752284160, while the sum is 81.

The spelling of 945609847346736 in words is "nine hundred forty-five trillion, six hundred nine billion, eight hundred forty-seven million, three hundred forty-six thousand, seven hundred thirty-six".