1046292228000 has 960 divisors, whose sum is σ = 4062266208000. Its totient is φ = 263027865600.

The previous prime is 1046292227993. The next prime is 1046292228001. The reversal of 1046292228000 is 8222926401.

1046292228000 is a `hidden beast` number, since 1 + 0 + 4 + 629 + 2 + 2 + 28 + 0 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (1046292228001) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 2148443757 + ... + 2148444243.

It is an arithmetic number, because the mean of its divisors is an integer number (4231527300).

Almost surely, 2^{1046292228000} is an apocalyptic number.

1046292228000 is a gapful number since it is divisible by the number (10) 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 1046292228000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2031133104000).

1046292228000 is an abundant number, since it is smaller than the sum of its proper divisors (3015973980000).

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

1046292228000 is a wasteful number, since it uses less digits than its factorization.

1046292228000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 892 (or 865 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The spelling of 1046292228000 in words is "one trillion, forty-six billion, two hundred ninety-two million, two hundred twenty-eight thousand".