351533948112 has 160 divisors (see below), whose sum is σ = 1070297746560. Its totient is φ = 110087976960.

The previous prime is 351533948071. The next prime is 351533948113. The reversal of 351533948112 is 211849335153.

351533948112 is a `hidden beast` number, since 3 + 5 + 153 + 3 + 9 + 481 + 12 = 666.

It is a super-2 number, since 2×351533948112² (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (351533948113) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4092162 + ... + 4177182.

It is an arithmetic number, because the mean of its divisors is an integer number (6689360916).

Almost surely, 2^351533948112 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 351533948112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (535148873280).

351533948112 is an abundant number, since it is smaller than the sum of its proper divisors (718763798448).

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

351533948112 is a wasteful number, since it uses less digits than its factorization.

351533948112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 85618 (or 85606 counting only the distinct ones).

The product of its digits is 388800, while the sum is 45.

The spelling of 351533948112 in words is "three hundred fifty-one billion, five hundred thirty-three million, nine hundred forty-eight thousand, one hundred twelve".