2944149617664 has 352 divisors, whose sum is σ = 8874293268480. Its totient is φ = 976103239680.

The previous prime is 2944149617623. The next prime is 2944149617671. The reversal of 2944149617664 is 4667169414492.

2944149617664 is a `hidden beast` number, since 2 + 9 + 4 + 4 + 1 + 4 + 9 + 617 + 6 + 6 + 4 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 427738767 + ... + 427745649.

Almost surely, 2^{2944149617664} is an apocalyptic number.

2944149617664 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 2944149617664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4437146634240).

2944149617664 is an abundant number, since it is smaller than the sum of its proper divisors (5930143650816).

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

2944149617664 is an frugal number, since it uses more digits than its factorization.

2944149617664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7115 (or 7079 counting only the distinct ones).

The product of its digits is 62705664, while the sum is 63.

The spelling of 2944149617664 in words is "two trillion, nine hundred forty-four billion, one hundred forty-nine million, six hundred seventeen thousand, six hundred sixty-four".