1006234754892 has 48 divisors (see below), whose sum is σ = 2416501301760. Its totient is φ = 325647525312.

The previous prime is 1006234754891. The next prime is 1006234754927. The reversal of 1006234754892 is 2984574326001.

1006234754892 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (1006234754891) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2219092 + ... + 2633787.

It is an arithmetic number, because the mean of its divisors is an integer number (50343777120).

It is a 1-persistent number, because it is pandigital, but 2⋅1006234754892 = 2012469509784 is not.

Almost surely, 2^{1006234754892} is an apocalyptic number.

1006234754892 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1006234754892 is an abundant number, since it is smaller than the sum of its proper divisors (1410266546868).

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

1006234754892 is a wasteful number, since it uses less digits than its factorization.

1006234754892 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4853390 (or 4853388 counting only the distinct ones).

The product of its (nonzero) digits is 2903040, while the sum is 51.

The spelling of 1006234754892 in words is "one trillion, six billion, two hundred thirty-four million, seven hundred fifty-four thousand, eight hundred ninety-two".