12948619264 has 135 divisors (see below), whose sum is σ = 30363507783. Its totient is φ = 5505712128.

The previous prime is 12948619241. The next prime is 12948619297. The reversal of 12948619264 is 46291684921.

The square root of 12948619264 is 113792.

It is a perfect power (a square), and thus also a powerful number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 101957569 + ... + 101957695.

Almost surely, 2^12948619264 is an apocalyptic number.

12948619264 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

12948619264 is the 113792-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12948619264

12948619264 is an abundant number, since it is smaller than the sum of its proper divisors (17414888519).

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

12948619264 is an frugal number, since it uses more digits than its factorization.

12948619264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 296 (or 136 counting only the distinct ones).

The product of its digits is 1492992, while the sum is 52.

The spelling of 12948619264 in words is "twelve billion, nine hundred forty-eight million, six hundred nineteen thousand, two hundred sixty-four".