2945059254144 has 1536 divisors, whose sum is σ = 11031613931520. Its totient is φ = 763665408000.

The previous prime is 2945059254133. The next prime is 2945059254307. The reversal of 2945059254144 is 4414529505492.

It is a happy number.

2945059254144 is a `hidden beast` number, since 2 + 9 + 4 + 5 + 0 + 5 + 92 + 541 + 4 + 4 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 9469643749 + ... + 9469644059.

It is an arithmetic number, because the mean of its divisors is an integer number (7182040320).

Almost surely, 2^{2945059254144} is an apocalyptic number.

2945059254144 is a gapful number since it is divisible by the number (24) 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 2945059254144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5515806965760).

2945059254144 is an abundant number, since it is smaller than the sum of its proper divisors (8086554677376).

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

2945059254144 is a wasteful number, since it uses less digits than its factorization.

2945059254144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 462 (or 438 counting only the distinct ones).

The product of its (nonzero) digits is 10368000, while the sum is 54.

The spelling of 2945059254144 in words is "two trillion, nine hundred forty-five billion, fifty-nine million, two hundred fifty-four thousand, one hundred forty-four".