1164004506064 has 160 divisors (see below), whose sum is σ = 2567291040000. Its totient is φ = 508278177792.

The previous prime is 1164004506059. The next prime is 1164004506097. The reversal of 1164004506064 is 4606054004611.

It is a super-2 number, since 2×1164004506064² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 116992162 + ... + 117002110.

It is an arithmetic number, because the mean of its divisors is an integer number (16045569000).

Almost surely, 2^{1164004506064} 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 1164004506064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1283645520000).

1164004506064 is an abundant number, since it is smaller than the sum of its proper divisors (1403286533936).

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

1164004506064 is a wasteful number, since it uses less digits than its factorization.

1164004506064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10605 (or 10599 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 37.

The spelling of 1164004506064 in words is "one trillion, one hundred sixty-four billion, four million, five hundred six thousand, sixty-four".