33874993152 has 1344 divisors, whose sum is σ = 144266863104. Its totient is φ = 7644119040.

The previous prime is 33874993129. The next prime is 33874993223. The reversal of 33874993152 is 25139947833.

33874993152 is a `hidden beast` number, since 338 + 74 + 9 + 93 + 152 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a super-2 number, since 2×33874993152² (a number of 22 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1992646648 + ... + 1992646664.

It is an arithmetic number, because the mean of its divisors is an integer number (107341416).

Almost surely, 2^33874993152 is an apocalyptic number.

33874993152 is a gapful number since it is divisible by the number (32) 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 33874993152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72133431552).

33874993152 is an abundant number, since it is smaller than the sum of its proper divisors (110391869952).

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

33874993152 is a wasteful number, since it uses less digits than its factorization.

33874993152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 89 (or 53 counting only the distinct ones).

The product of its digits is 4898880, while the sum is 54.

The spelling of 33874993152 in words is "thirty-three billion, eight hundred seventy-four million, nine hundred ninety-three thousand, one hundred fifty-two".