12948451776 has 224 divisors, whose sum is σ = 41385012480. Its totient is φ = 3946171392.

The previous prime is 12948451771. The next prime is 12948451799. The reversal of 12948451776 is 67715484921.

12948451776 is a `hidden beast` number, since 12 + 9 + 48 + 4 + 517 + 76 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12948451771) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2400955 + ... + 2406341.

It is an arithmetic number, because the mean of its divisors is an integer number (184754520).

Almost surely, 2^12948451776 is an apocalyptic number.

12948451776 is a gapful number since it is divisible by the number (16) 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 12948451776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20692506240).

12948451776 is an abundant number, since it is smaller than the sum of its proper divisors (28436560704).

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

12948451776 is a wasteful number, since it uses less digits than its factorization.

12948451776 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5528 (or 5512 counting only the distinct ones).

The product of its digits is 3386880, while the sum is 54.

The spelling of 12948451776 in words is "twelve billion, nine hundred forty-eight million, four hundred fifty-one thousand, seven hundred seventy-six".