201034414893312 has 3888 divisors, whose sum is σ = 831464378873856. Its totient is φ = 46132789248000.

The previous prime is 201034414893307. The next prime is 201034414893313. The reversal of 201034414893312 is 213398414430102.

201034414893312 is a `hidden beast` number, since 2 + 0 + 103 + 4 + 4 + 148 + 93 + 312 = 666.

It is not an unprimeable number, because it can be changed into a prime (201034414893313) 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 431 ways as a sum of consecutive naturals, for example, 524894033473 + ... + 524894033855.

It is an arithmetic number, because the mean of its divisors is an integer number (213854006912).

Almost surely, 2^{201034414893312} is an apocalyptic number.

201034414893312 is a gapful number since it is divisible by the number (22) 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 201034414893312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (415732189436928).

201034414893312 is an abundant number, since it is smaller than the sum of its proper divisors (630429963980544).

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

201034414893312 is a wasteful number, since it uses less digits than its factorization.

201034414893312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 558 (or 521 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 45.

The spelling of 201034414893312 in words is "two hundred one trillion, thirty-four billion, four hundred fourteen million, eight hundred ninety-three thousand, three hundred twelve".