1466107992 has 128 divisors (see below), whose sum is σ = 4285440000. Its totient is φ = 463736448.

The previous prime is 1466107987. The next prime is 1466108009. The reversal of 1466107992 is 2997016641.

It is a congruent number.

It is an unprimeable number.

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, 367593 + ... + 371559.

It is an arithmetic number, because the mean of its divisors is an integer number (33480000).

Almost surely, 2^1466107992 is an apocalyptic number.

1466107992 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1466107992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2142720000).

1466107992 is an abundant number, since it is smaller than the sum of its proper divisors (2819332008).

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

1466107992 is a wasteful number, since it uses less digits than its factorization.

1466107992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4070 (or 4060 counting only the distinct ones).

The product of its (nonzero) digits is 163296, while the sum is 45.

The square root of 1466107992 is about 38289.7896572964. The cubic root of 1466107992 is about 1136.0270008626.

The spelling of 1466107992 in words is "one billion, four hundred sixty-six million, one hundred seven thousand, nine hundred ninety-two".