1585148296212 has 240 divisors, whose sum is σ = 4481367770880. Its totient is φ = 485698042368.

The previous prime is 1585148296141. The next prime is 1585148296213. The reversal of 1585148296212 is 2126928415851.

It is a happy number.

1585148296212 is a `hidden beast` number, since 1 + 5 + 8 + 5 + 1 + 4 + 8 + 2 + 9 + 621 + 2 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1585148296213) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1889330089 + ... + 1889330927.

It is an arithmetic number, because the mean of its divisors is an integer number (18672365712).

Almost surely, 2^{1585148296212} is an apocalyptic number.

1585148296212 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 1585148296212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2240683885440).

1585148296212 is an abundant number, since it is smaller than the sum of its proper divisors (2896219474668).

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

1585148296212 is a wasteful number, since it uses less digits than its factorization.

1585148296212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2212 (or 2201 counting only the distinct ones).

The product of its digits is 2764800, while the sum is 54.

The spelling of 1585148296212 in words is "one trillion, five hundred eighty-five billion, one hundred forty-eight million, two hundred ninety-six thousand, two hundred twelve".