10141892745912 has 128 divisors (see below), whose sum is σ = 28809395712000. Its totient is φ = 3304605133440.

The previous prime is 10141892745911. The next prime is 10141892745967. The reversal of 10141892745912 is 21954729814101.

10141892745912 is a `hidden beast` number, since 1 + 0 + 1 + 4 + 189 + 2 + 7 + 459 + 1 + 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 (10141892745911) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1467889 + ... + 4736927.

It is an arithmetic number, because the mean of its divisors is an integer number (225073404000).

Almost surely, 2^{10141892745912} is an apocalyptic number.

10141892745912 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 10141892745912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14404697856000).

10141892745912 is an abundant number, since it is smaller than the sum of its proper divisors (18667502966088).

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

10141892745912 is a wasteful number, since it uses less digits than its factorization.

10141892745912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3269378 (or 3269368 counting only the distinct ones).

The product of its (nonzero) digits is 1451520, while the sum is 54.

The spelling of 10141892745912 in words is "ten trillion, one hundred forty-one billion, eight hundred ninety-two million, seven hundred forty-five thousand, nine hundred twelve".