142892948016 has 640 divisors, whose sum is σ = 535343513600. Its totient is φ = 35473489920.

The previous prime is 142892947997. The next prime is 142892948057. The reversal of 142892948016 is 610849298241.

It is a happy number.

142892948016 is a `hidden beast` number, since 142 + 8 + 9 + 2 + 9 + 480 + 16 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 45089280 + ... + 45092448.

It is an arithmetic number, because the mean of its divisors is an integer number (836474240).

Almost surely, 2^142892948016 is an apocalyptic number.

142892948016 is a gapful number since it is divisible by the number (16) 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 142892948016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (267671756800).

142892948016 is an abundant number, since it is smaller than the sum of its proper divisors (392450565584).

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

142892948016 is a wasteful number, since it uses less digits than its factorization.

142892948016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3274 (or 3262 counting only the distinct ones).

The product of its (nonzero) digits is 1990656, while the sum is 54.

The spelling of 142892948016 in words is "one hundred forty-two billion, eight hundred ninety-two million, nine hundred forty-eight thousand, sixteen".