33368353012746 has 160 divisors (see below), whose sum is σ = 81480775368960. Its totient is φ = 10171895583744.

The previous prime is 33368353012693. The next prime is 33368353012783. The reversal of 33368353012746 is 64721035386333.

33368353012746 is a `hidden beast` number, since 3 + 3 + 3 + 6 + 83 + 530 + 1 + 27 + 4 + 6 = 666.

It is a super-2 number, since 2×33368353012746² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 33368353012692 and 33368353012701.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 8980770 + ... + 12140466.

It is an arithmetic number, because the mean of its divisors is an integer number (509254846056).

Almost surely, 2^{33368353012746} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 33368353012746, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40740387684480).

33368353012746 is an abundant number, since it is smaller than the sum of its proper divisors (48112422356214).

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

33368353012746 is a wasteful number, since it uses less digits than its factorization.

33368353012746 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3159850 (or 3159841 counting only the distinct ones).

The product of its (nonzero) digits is 19595520, while the sum is 54.

The spelling of 33368353012746 in words is "thirty-three trillion, three hundred sixty-eight billion, three hundred fifty-three million, twelve thousand, seven hundred forty-six".