33729456948012 has 144 divisors (see below), whose sum is σ = 97766909839872. Its totient is φ = 9604728829440.

The previous prime is 33729456947999. The next prime is 33729456948043. The reversal of 33729456948012 is 21084965492733.

33729456948012 is a `hidden beast` number, since 3 + 3 + 7 + 2 + 9 + 456 + 94 + 80 + 12 = 666.

It is a super-2 number, since 2×33729456948012² (a number of 28 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (63) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 702424228 + ... + 702472244.

It is an arithmetic number, because the mean of its divisors is an integer number (678936873888).

It is a 2-persistent number, because it is pandigital, and so is 2⋅33729456948012 = 67458913896024, but 3⋅33729456948012 = 101188370844036 is not.

Almost surely, 2^{33729456948012} 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 33729456948012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48883454919936).

33729456948012 is an abundant number, since it is smaller than the sum of its proper divisors (64037452891860).

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

33729456948012 is a wasteful number, since it uses less digits than its factorization.

33729456948012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57308 (or 57303 counting only the distinct ones).

The product of its (nonzero) digits is 78382080, while the sum is 63.

The spelling of 33729456948012 in words is "thirty-three trillion, seven hundred twenty-nine billion, four hundred fifty-six million, nine hundred forty-eight thousand, twelve".