1231008002064 has 45 divisors (see below), whose sum is σ = 3445149933823. Its totient is φ = 410331562656.

The previous prime is 1231008002051. The next prime is 1231008002069. The reversal of 1231008002064 is 4602008001321.

The square root of 1231008002064 is 1109508.

It is a perfect power (a square), and thus also a powerful number.

It is a super-2 number, since 2×1231008002064² (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1231008002069) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 13267867 + ... + 13360325.

Almost surely, 2^{1231008002064} is an apocalyptic number.

1231008002064 is the 1109508-th square number.

It is an amenable number.

1231008002064 is an abundant number, since it is smaller than the sum of its proper divisors (2214141931759).

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

1231008002064 is an frugal number, since it uses more digits than its factorization.

1231008002064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 184932 (or 92464 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The spelling of 1231008002064 in words is "one trillion, two hundred thirty-one billion, eight million, two thousand, sixty-four".