1297623914496 has 1728 divisors, whose sum is σ = 5036610196800. Its totient is φ = 318377558016.

The previous prime is 1297623914441. The next prime is 1297623914497. The reversal of 1297623914496 is 6944193267921.

1297623914496 is a `hidden beast` number, since 12 + 9 + 76 + 23 + 91 + 449 + 6 = 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.

Its product of digits (35271936) is a multiple of the sum of its prime factors (224).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1297623914497) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 12598290381 + ... + 12598290483.

It is an arithmetic number, because the mean of its divisors is an integer number (2914704975).

Almost surely, 2^{1297623914496} is an apocalyptic number.

1297623914496 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 1297623914496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2518305098400).

1297623914496 is an abundant number, since it is smaller than the sum of its proper divisors (3738986282304).

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

1297623914496 is a wasteful number, since it uses less digits than its factorization.

1297623914496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 224 (or 194 counting only the distinct ones).

The product of its digits is 35271936, while the sum is 63.

The spelling of 1297623914496 in words is "one trillion, two hundred ninety-seven billion, six hundred twenty-three million, nine hundred fourteen thousand, four hundred ninety-six".