33697994134464 has 560 divisors, whose sum is σ = 114749445888000. Its totient is φ = 9670557081600.

The previous prime is 33697994134417. The next prime is 33697994134517. The reversal of 33697994134464 is 46443149979633.

33697994134464 is a `hidden beast` number, since 3 + 3 + 6 + 9 + 7 + 99 + 41 + 34 + 464 = 666.

It is a super-2 number, since 2×33697994134464² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 33697994134392 and 33697994134401.

It is a congruent number.

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, 5199502104 + ... + 5199508584.

It is an arithmetic number, because the mean of its divisors is an integer number (204909724800).

Almost surely, 2^{33697994134464} 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 33697994134464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57374722944000).

33697994134464 is an abundant number, since it is smaller than the sum of its proper divisors (81051451753536).

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

33697994134464 is a wasteful number, since it uses less digits than its factorization.

33697994134464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11334 (or 11315 counting only the distinct ones).

The product of its digits is 1269789696, while the sum is 72.

The spelling of 33697994134464 in words is "thirty-three trillion, six hundred ninety-seven billion, nine hundred ninety-four million, one hundred thirty-four thousand, four hundred sixty-four".