33712149312 has 168 divisors, whose sum is σ = 102669746400. Its totient is φ = 10546080768.

The previous prime is 33712149271. The next prime is 33712149313. The reversal of 33712149312 is 21394121733.

33712149312 is a `hidden beast` number, since 3 + 37 + 121 + 493 + 12 = 666.

It is a super-2 number, since 2×33712149312² (a number of 22 digits) contains 22 as substring.

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 (33712149313) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1156614 + ... + 1185402.

Almost surely, 2^33712149312 is an apocalyptic number.

33712149312 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 33712149312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51334873200).

33712149312 is an abundant number, since it is smaller than the sum of its proper divisors (68957597088).

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

33712149312 is a wasteful number, since it uses less digits than its factorization.

33712149312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28933 (or 28920 counting only the distinct ones).

The product of its digits is 27216, while the sum is 36.

The spelling of 33712149312 in words is "thirty-three billion, seven hundred twelve million, one hundred forty-nine thousand, three hundred twelve".