33866428225032 has 192 divisors, whose sum is σ = 99091141094400. Its totient is φ = 10387350005760.

The previous prime is 33866428224977. The next prime is 33866428225051. The reversal of 33866428225032 is 23052282466833.

33866428225032 is a `hidden beast` number, since 3 + 3 + 86 + 6 + 4 + 282 + 250 + 32 = 666.

It is a super-2 number, since 2×33866428225032² (a number of 28 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 33866428225032.

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, 474556569 + ... + 474627927.

It is an arithmetic number, because the mean of its divisors is an integer number (516099693200).

Almost surely, 2^{33866428225032} 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 33866428225032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49545570547200).

33866428225032 is an abundant number, since it is smaller than the sum of its proper divisors (65224712869368).

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

33866428225032 is a wasteful number, since it uses less digits than its factorization.

33866428225032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72988 (or 72981 counting only the distinct ones).

The product of its (nonzero) digits is 19906560, while the sum is 54.

The spelling of 33866428225032 in words is "thirty-three trillion, eight hundred sixty-six billion, four hundred twenty-eight million, two hundred twenty-five thousand, thirty-two".