142778310048 has 288 divisors, whose sum is σ = 453327114240. Its totient is φ = 42255290880.

The previous prime is 142778310019. The next prime is 142778310061. The reversal of 142778310048 is 840013877241.

142778310048 is a `hidden beast` number, since 1 + 427 + 7 + 83 + 100 + 48 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a junction number, because it is equal to n+sod(n) for n = 142778309985 and 142778310012.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 108246733 + ... + 108248051.

It is an arithmetic number, because the mean of its divisors is an integer number (1574052480).

Almost surely, 2^142778310048 is an apocalyptic number.

142778310048 is a gapful number since it is divisible by the number (18) 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 142778310048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (226663557120).

142778310048 is an abundant number, since it is smaller than the sum of its proper divisors (310548804192).

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

142778310048 is a wasteful number, since it uses less digits than its factorization.

142778310048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2120 (or 2109 counting only the distinct ones).

The product of its (nonzero) digits is 301056, while the sum is 45.

The spelling of 142778310048 in words is "one hundred forty-two billion, seven hundred seventy-eight million, three hundred ten thousand, forty-eight".