2914382072448 has 768 divisors, whose sum is σ = 10714822560000. Its totient is φ = 753747886080.

The previous prime is 2914382072389. The next prime is 2914382072461. The reversal of 2914382072448 is 8442702834192.

2914382072448 is a `hidden beast` number, since 2 + 9 + 14 + 382 + 0 + 7 + 244 + 8 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 2914382072394 and 2914382072403.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1117048168 + ... + 1117050776.

It is an arithmetic number, because the mean of its divisors is an integer number (13951591875).

Almost surely, 2^{2914382072448} is an apocalyptic number.

2914382072448 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 2914382072448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5357411280000).

2914382072448 is an abundant number, since it is smaller than the sum of its proper divisors (7800440487552).

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

2914382072448 is a wasteful number, since it uses less digits than its factorization.

2914382072448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2918 (or 2889 counting only the distinct ones).

The product of its (nonzero) digits is 6193152, while the sum is 54.

It can be divided in two parts, 291438 and 2072448, that multiplied together give a square (603990100224 = 777168²).

The spelling of 2914382072448 in words is "two trillion, nine hundred fourteen billion, three hundred eighty-two million, seventy-two thousand, four hundred forty-eight".