1164664006416 has 135 divisors (see below), whose sum is σ = 3288141672231. Its totient is φ = 384832660032.

The previous prime is 1164664006397. The next prime is 1164664006529. The reversal of 1164664006416 is 6146004664611.

The square root of 1164664006416 is 1079196.

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

1164664006416 is a `hidden beast` number, since 116 + 4 + 66 + 400 + 64 + 16 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 1800098605 + ... + 1800099251.

Almost surely, 2^{1164664006416} is an apocalyptic number.

1164664006416 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

1164664006416 is the 1079196-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1164664006416

1164664006416 is an abundant number, since it is smaller than the sum of its proper divisors (2123477665815).

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

1164664006416 is an frugal number, since it uses more digits than its factorization.

1164664006416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1586 (or 791 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 45.

The spelling of 1164664006416 in words is "one trillion, one hundred sixty-four billion, six hundred sixty-four million, six thousand, four hundred sixteen".