33364412426016 has 144 divisors (see below), whose sum is σ = 114812831113344. Its totient is φ = 8971942828032.

The previous prime is 33364412425973. The next prime is 33364412426041. The reversal of 33364412426016 is 61062421446333.

It is a happy number.

33364412426016 is a `hidden beast` number, since 3 + 3 + 36 + 4 + 4 + 1 + 2 + 4 + 2 + 601 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×33364412426016² (a number of 28 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 486724780 + ... + 486793323.

It is an arithmetic number, because the mean of its divisors is an integer number (797311327176).

Almost surely, 2^{33364412426016} is an apocalyptic number.

33364412426016 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

33364412426016 is an abundant number, since it is smaller than the sum of its proper divisors (81448418687328).

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

33364412426016 is a wasteful number, since it uses less digits than its factorization.

33364412426016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 973518143 (or 973518132 counting only the distinct ones).

The product of its (nonzero) digits is 1492992, while the sum is 45.

The spelling of 33364412426016 in words is "thirty-three trillion, three hundred sixty-four billion, four hundred twelve million, four hundred twenty-six thousand, sixteen".