1164967264944 has 240 divisors, whose sum is σ = 4005606958080. Its totient is φ = 308620108800.

The previous prime is 1164967264943. The next prime is 1164967264961. The reversal of 1164967264944 is 4494627694611.

1164967264944 is a `hidden beast` number, since 1 + 1 + 64 + 9 + 67 + 26 + 494 + 4 = 666.

It is a super-2 number, since 2×1164967264944² (a number of 25 digits) contains 22 as substring.

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.

It is not an unprimeable number, because it can be changed into a prime (1164967264943) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 253044 + ... + 1547244.

It is an arithmetic number, because the mean of its divisors is an integer number (16690028992).

Almost surely, 2^{1164967264944} is an apocalyptic number.

1164967264944 is a gapful number since it is divisible by the number (14) 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 1164967264944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2002803479040).

1164967264944 is an abundant number, since it is smaller than the sum of its proper divisors (2840639693136).

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

1164967264944 is a wasteful number, since it uses less digits than its factorization.

1164967264944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1294288 (or 1294279 counting only the distinct ones).

The product of its digits is 62705664, while the sum is 63.

The spelling of 1164967264944 in words is "one trillion, one hundred sixty-four billion, nine hundred sixty-seven million, two hundred sixty-four thousand, nine hundred forty-four".