203772988941312 has 704 divisors, whose sum is σ = 634471848806400. Its totient is φ = 56947943669760.

The previous prime is 203772988941281. The next prime is 203772988941317. The reversal of 203772988941312 is 213149889277302.

It is a hoax number, since the sum of its digits (66) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (203772988941317) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 93516744639 + ... + 93516746817.

It is an arithmetic number, because the mean of its divisors is an integer number (901238421600).

Almost surely, 2^{203772988941312} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 203772988941312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (317235924403200).

203772988941312 is an abundant number, since it is smaller than the sum of its proper divisors (430698859865088).

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

203772988941312 is a wasteful number, since it uses less digits than its factorization.

203772988941312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2802 (or 2784 counting only the distinct ones).

The product of its (nonzero) digits is 73156608, while the sum is 66.

The spelling of 203772988941312 in words is "two hundred three trillion, seven hundred seventy-two billion, nine hundred eighty-eight million, nine hundred forty-one thousand, three hundred twelve".