142566561312 has 384 divisors, whose sum is σ = 453719605248. Its totient is φ = 38320128000.

The previous prime is 142566561311. The next prime is 142566561329. The reversal of 142566561312 is 213165665241.

It is a super-2 number, since 2×142566561312² (a number of 23 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (142566561311) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 423046008 + ... + 423046344.

It is an arithmetic number, because the mean of its divisors is an integer number (1181561472).

Almost surely, 2^142566561312 is an apocalyptic number.

142566561312 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 142566561312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (226859802624).

142566561312 is an abundant number, since it is smaller than the sum of its proper divisors (311153043936).

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

142566561312 is a wasteful number, since it uses less digits than its factorization.

142566561312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 752 (or 744 counting only the distinct ones).

The product of its digits is 259200, while the sum is 42.

The spelling of 142566561312 in words is "one hundred forty-two billion, five hundred sixty-six million, five hundred sixty-one thousand, three hundred twelve".