1117581464064 has 320 divisors, whose sum is σ = 3385487064960. Its totient is φ = 324768890880.

The previous prime is 1117581464063. The next prime is 1117581464093. The reversal of 1117581464064 is 4604641857111.

It is a happy number.

It is a super-3 number, since 3×1117581464064³ (a number of 37 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (1117581464063) 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 31 ways as a sum of consecutive naturals, for example, 127850734 + ... + 127859474.

It is an arithmetic number, because the mean of its divisors is an integer number (10579647078).

Almost surely, 2^{1117581464064} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1117581464064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1692743532480).

1117581464064 is an abundant number, since it is smaller than the sum of its proper divisors (2267905600896).

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

1117581464064 is a wasteful number, since it uses less digits than its factorization.

1117581464064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9131 (or 9115 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 48.

The spelling of 1117581464064 in words is "one trillion, one hundred seventeen billion, five hundred eighty-one million, four hundred sixty-four thousand, sixty-four".