10193368154112 has 2048 divisors, whose sum is σ = 38557480550400. Its totient is φ = 2615987404800.

The previous prime is 10193368154111. The next prime is 10193368154129. The reversal of 10193368154112 is 21145186339101.

10193368154112 is a `hidden beast` number, since 1 + 0 + 1 + 9 + 33 + 68 + 1 + 541 + 12 = 666.

It is a tau number, because it is divible by the number of its divisors (2048).

It is not an unprimeable number, because it can be changed into a prime (10193368154111) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 90206797768 + ... + 90206797880.

It is an arithmetic number, because the mean of its divisors is an integer number (18826894800).

Almost surely, 2^{10193368154112} is an apocalyptic number.

10193368154112 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 10193368154112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19278740275200).

10193368154112 is an abundant number, since it is smaller than the sum of its proper divisors (28364112396288).

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

10193368154112 is a wasteful number, since it uses less digits than its factorization.

10193368154112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 230 (or 196 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 45.

The spelling of 10193368154112 in words is "ten trillion, one hundred ninety-three billion, three hundred sixty-eight million, one hundred fifty-four thousand, one hundred twelve".