2151848328448 has 576 divisors, whose sum is σ = 5725998415872. Its totient is φ = 783628369920.

The previous prime is 2151848328437. The next prime is 2151848328449. The reversal of 2151848328448 is 8448238481512.

It is a junction number, because it is equal to n+sod(n) for n = 2151848328392 and 2151848328401.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2151848328449) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5863346761 + ... + 5863347127.

It is an arithmetic number, because the mean of its divisors is an integer number (9940969472).

Almost surely, 2^{2151848328448} is an apocalyptic number.

2151848328448 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 2151848328448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2862999207936).

2151848328448 is an abundant number, since it is smaller than the sum of its proper divisors (3574150087424).

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

2151848328448 is a wasteful number, since it uses less digits than its factorization.

2151848328448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 810 (or 796 counting only the distinct ones).

The product of its digits is 15728640, while the sum is 58.

The spelling of 2151848328448 in words is "two trillion, one hundred fifty-one billion, eight hundred forty-eight million, three hundred twenty-eight thousand, four hundred forty-eight".