1006465891392 has 392 divisors, whose sum is σ = 3273043447296. Its totient is φ = 305047378944.

The previous prime is 1006465891357. The next prime is 1006465891499. The reversal of 1006465891392 is 2931985646001.

1006465891392 is a `hidden beast` number, since 1 + 0 + 0 + 6 + 46 + 589 + 13 + 9 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 40624993 + ... + 40649759.

Almost surely, 2^{1006465891392} is an apocalyptic number.

1006465891392 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 1006465891392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1636521723648).

1006465891392 is an abundant number, since it is smaller than the sum of its proper divisors (2266577555904).

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

1006465891392 is an equidigital number, since it uses as much as digits as its factorization.

1006465891392 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24877 (or 24852 counting only the distinct ones).

The product of its (nonzero) digits is 2799360, while the sum is 54.

The spelling of 1006465891392 in words is "one trillion, six billion, four hundred sixty-five million, eight hundred ninety-one thousand, three hundred ninety-two".