1146142610010 has 96 divisors (see below), whose sum is σ = 3159434493072. Its totient is φ = 287279032320.

The previous prime is 1146142610009. The next prime is 1146142610017. The reversal of 1146142610010 is 100162416411.

1146142610010 is a `hidden beast` number, since 1 + 1 + 4 + 6 + 1 + 42 + 610 + 0 + 1 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 744781082049 + 401361527961 = 863007^2 + 633531^2 .

It is not an unprimeable number, because it can be changed into a prime (1146142610017) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 663420 + ... + 1653000.

Almost surely, 2^{1146142610010} is an apocalyptic number.

1146142610010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1146142610010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1579717246536).

1146142610010 is an abundant number, since it is smaller than the sum of its proper divisors (2013291883062).

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

1146142610010 is a wasteful number, since it uses less digits than its factorization.

1146142610010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 990368 (or 990365 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The spelling of 1146142610010 in words is "one trillion, one hundred forty-six billion, one hundred forty-two million, six hundred ten thousand, ten".