1264161163776 has 480 divisors, whose sum is σ = 4034486776320. Its totient is φ = 350526726144.

The previous prime is 1264161163717. The next prime is 1264161163789. The reversal of 1264161163776 is 6773611614621.

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 540469615 + ... + 540471953.

It is an arithmetic number, because the mean of its divisors is an integer number (8405180784).

Almost surely, 2^{1264161163776} is an apocalyptic number.

1264161163776 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 1264161163776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2017243388160).

1264161163776 is an abundant number, since it is smaller than the sum of its proper divisors (2770325612544).

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

1264161163776 is a wasteful number, since it uses less digits than its factorization.

1264161163776 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2584 (or 2561 counting only the distinct ones).

The product of its digits is 1524096, while the sum is 51.

The spelling of 1264161163776 in words is "one trillion, two hundred sixty-four billion, one hundred sixty-one million, one hundred sixty-three thousand, seven hundred seventy-six".