1901212768 has 96 divisors (see below), whose sum is σ = 4625377344. Its totient is φ = 749094912.

The previous prime is 1901212759. The next prime is 1901212829. The reversal of 1901212768 is 8672121091.

It is a super-3 number, since 3×1901212768³ (a number of 29 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 805446 + ... + 807802.

It is an arithmetic number, because the mean of its divisors is an integer number (48181014).

Almost surely, 2^1901212768 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 1901212768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2312688672).

1901212768 is an abundant number, since it is smaller than the sum of its proper divisors (2724164576).

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

1901212768 is a wasteful number, since it uses less digits than its factorization.

1901212768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2664 (or 2656 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 37.

The square root of 1901212768 is about 43602.8986192432. The cubic root of 1901212768 is about 1238.8257979247.

The spelling of 1901212768 in words is "one billion, nine hundred one million, two hundred twelve thousand, seven hundred sixty-eight".