2945649345408 has 1024 divisors, whose sum is σ = 11198671718400. Its totient is φ = 740125900800.

The previous prime is 2945649345403. The next prime is 2945649345413. The reversal of 2945649345408 is 8045439465492.

2945649345408 is a `hidden beast` number, since 2 + 9 + 4 + 56 + 4 + 9 + 34 + 540 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (2945649345403) and next prime (2945649345413).

It is a super-2 number, since 2×2945649345408² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2945649345403) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1029585898 + ... + 1029588758.

It is an arithmetic number, because the mean of its divisors is an integer number (10936202850).

Almost surely, 2^{2945649345408} is an apocalyptic number.

2945649345408 is a gapful number since it is divisible by the number (28) 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 2945649345408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5599335859200).

2945649345408 is an abundant number, since it is smaller than the sum of its proper divisors (8253022372992).

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

2945649345408 is a wasteful number, since it uses less digits than its factorization.

2945649345408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3028 (or 3010 counting only the distinct ones).

The product of its (nonzero) digits is 149299200, while the sum is 63.

The spelling of 2945649345408 in words is "two trillion, nine hundred forty-five billion, six hundred forty-nine million, three hundred forty-five thousand, four hundred eight".