3123768872448 has 1440 divisors, whose sum is σ = 11625935222880. Its totient is φ = 835741089792.

The previous prime is 3123768872381. The next prime is 3123768872501. The reversal of 3123768872448 is 8442788673213.

3123768872448 is a `hidden beast` number, since 3 + 12 + 37 + 6 + 88 + 72 + 448 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 15856694686 + ... + 15856694882.

It is an arithmetic number, because the mean of its divisors is an integer number (8073566127).

Almost surely, 2^{3123768872448} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3123768872448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5812967611440).

3123768872448 is an abundant number, since it is smaller than the sum of its proper divisors (8502166350432).

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

3123768872448 is an frugal number, since it uses more digits than its factorization.

3123768872448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 284 (or 226 counting only the distinct ones).

The product of its digits is 86704128, while the sum is 63.

The spelling of 3123768872448 in words is "three trillion, one hundred twenty-three billion, seven hundred sixty-eight million, eight hundred seventy-two thousand, four hundred forty-eight".