33868948932000 has 1920 divisors, whose sum is σ = 154728390136320. Its totient is φ = 7065136742400.

The previous prime is 33868948931947. The next prime is 33868948932023. The reversal of 33868948932000 is 23984986833.

33868948932000 is a `hidden beast` number, since 3 + 386 + 8 + 9 + 48 + 9 + 3 + 200 + 0 = 666.

It is a super-2 number, since 2×33868948932000² (a number of 28 digits) contains 22 as substring.

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 319 ways as a sum of consecutive naturals, for example, 2624069547 + ... + 2624082453.

It is an arithmetic number, because the mean of its divisors is an integer number (80587703196).

Almost surely, 2^{33868948932000} is an apocalyptic number.

33868948932000 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 33868948932000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77364195068160).

33868948932000 is an abundant number, since it is smaller than the sum of its proper divisors (120859441204320).

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

33868948932000 is a wasteful number, since it uses less digits than its factorization.

33868948932000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13053 (or 13026 counting only the distinct ones).

The product of its (nonzero) digits is 53747712, while the sum is 63.

The spelling of 33868948932000 in words is "thirty-three trillion, eight hundred sixty-eight billion, nine hundred forty-eight million, nine hundred thirty-two thousand".