10142563211334 has 96 divisors (see below), whose sum is σ = 23364335554560. Its totient is φ = 3170776104000.

The previous prime is 10142563211327. The next prime is 10142563211359. The reversal of 10142563211334 is 43311236524101.

10142563211334 is a `hidden beast` number, since 1 + 0 + 1 + 4 + 2 + 5 + 632 + 1 + 13 + 3 + 4 = 666.

10142563211334 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×10142563211334³ (a number of 40 digits) contains 333 as substring.

It is a congruent number.

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, 343021819 + ... + 343051385.

It is an arithmetic number, because the mean of its divisors is an integer number (243378495360).

Almost surely, 2^{10142563211334} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10142563211334, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11682167777280).

10142563211334 is an abundant number, since it is smaller than the sum of its proper divisors (13221772343226).

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

10142563211334 is a wasteful number, since it uses less digits than its factorization.

10142563211334 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39626 (or 39623 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

Adding to 10142563211334 its reverse (43311236524101), we get a palindrome (53453799735435).

The spelling of 10142563211334 in words is "ten trillion, one hundred forty-two billion, five hundred sixty-three million, two hundred eleven thousand, three hundred thirty-four".