1267117613568 has 560 divisors, whose sum is σ = 4015424996352. Its totient is φ = 398628864000.

The previous prime is 1267117613501. The next prime is 1267117613591. The reversal of 1267117613568 is 8653167117621.

1267117613568 is a `hidden beast` number, since 1 + 2 + 6 + 7 + 1 + 1 + 76 + 1 + 3 + 568 = 666.

It is a super-2 number, since 2×1267117613568² (a number of 25 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 474396873 + ... + 474399543.

Almost surely, 2^{1267117613568} is an apocalyptic number.

1267117613568 is a gapful number since it is divisible by the number (18) 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 1267117613568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2007712498176).

1267117613568 is an abundant number, since it is smaller than the sum of its proper divisors (2748307382784).

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

1267117613568 is an frugal number, since it uses more digits than its factorization.

1267117613568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2779 (or 2748 counting only the distinct ones).

The product of its digits is 2540160, while the sum is 54.

The spelling of 1267117613568 in words is "one trillion, two hundred sixty-seven billion, one hundred seventeen million, six hundred thirteen thousand, five hundred sixty-eight".