2946468374784 has 243 divisors, whose sum is σ = 9340786398307. Its totient is φ = 892594560000.

The previous prime is 2946468374771. The next prime is 2946468374797. The reversal of 2946468374784 is 4874738646492.

The square root of 2946468374784 is 1716528.

It is a perfect power (a square), and thus also a powerful number.

2946468374784 is a `hidden beast` number, since 2 + 9 + 4 + 64 + 68 + 37 + 478 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (2946468374771) and next prime (2946468374797).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a Duffinian number.

It is an unprimeable number.

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 26 ways as a sum of consecutive naturals, for example, 906325159 + ... + 906328409.

Almost surely, 2^{2946468374784} is an apocalyptic number.

2946468374784 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

2946468374784 is the 1716528-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2946468374784

2946468374784 is an abundant number, since it is smaller than the sum of its proper divisors (6394318023523).

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

2946468374784 is an frugal number, since it uses more digits than its factorization.

2946468374784 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6546 (or 3267 counting only the distinct ones).

The product of its digits is 1560674304, while the sum is 72.

The spelling of 2946468374784 in words is "two trillion, nine hundred forty-six billion, four hundred sixty-eight million, three hundred seventy-four thousand, seven hundred eighty-four".