1234560987664 has 45 divisors (see below), whose sum is σ = 2404434994983. Its totient is φ = 614078280576.

The previous prime is 1234560987589. The next prime is 1234560987713. The reversal of 1234560987664 is 4667890654321.

The square root of 1234560987664 is 1111108.

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

It can be written as a sum of positive squares in 4 ways, for example, as 4697731600 + 1229863256064 = 68540^2 + 1108992^2 .

It is a super-2 number, since 2×1234560987664² (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1017774322 + ... + 1017775534.

It is a 1-persistent number, because it is pandigital, but 2⋅1234560987664 = 2469121975328 is not.

Almost surely, 2^{1234560987664} is an apocalyptic number.

1234560987664 is the 1111108-th square number.

It is an amenable number.

1234560987664 is a deficient number, since it is larger than the sum of its proper divisors (1169874007319).

1234560987664 is an frugal number, since it uses more digits than its factorization.

1234560987664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2892 (or 1444 counting only the distinct ones).

The product of its (nonzero) digits is 52254720, while the sum is 61.

The spelling of 1234560987664 in words is "one trillion, two hundred thirty-four billion, five hundred sixty million, nine hundred eighty-seven thousand, six hundred sixty-four".