350133933312 has 216 divisors, whose sum is σ = 1072454423040. Its totient is φ = 113863864320.

The previous prime is 350133933311. The next prime is 350133933319. The reversal of 350133933312 is 213339331053.

350133933312 is a `hidden beast` number, since 3 + 5 + 0 + 1 + 339 + 3 + 3 + 312 = 666.

It is a tau number, because it is divible by the number of its divisors (216).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (350133933311) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2481889 + ... + 2619167.

Almost surely, 2^350133933312 is an apocalyptic number.

350133933312 is a gapful number since it is divisible by the number (32) 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 350133933312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (536227211520).

350133933312 is an abundant number, since it is smaller than the sum of its proper divisors (722320489728).

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

350133933312 is an equidigital number, since it uses as much as digits as its factorization.

350133933312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 137351 (or 137325 counting only the distinct ones).

The product of its (nonzero) digits is 65610, while the sum is 36.

The spelling of 350133933312 in words is "three hundred fifty billion, one hundred thirty-three million, nine hundred thirty-three thousand, three hundred twelve".