33750472018000 has 80 divisors (see below), whose sum is σ = 81695741544144. Its totient is φ = 13485780172800.

The previous prime is 33750472017973. The next prime is 33750472018001. The reversal of 33750472018000 is 81027405733.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 19962201896464 + 13788270121536 = 4467908^2 + 3713256^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×33750472018000² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33750472018001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7130929 + ... + 10878928.

Almost surely, 2^{33750472018000} is an apocalyptic number.

It is an amenable number.

33750472018000 is an abundant number, since it is smaller than the sum of its proper divisors (47945269526144).

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

33750472018000 is a wasteful number, since it uses less digits than its factorization.

33750472018000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18010817 (or 18010801 counting only the distinct ones).

The product of its (nonzero) digits is 141120, while the sum is 40.

The spelling of 33750472018000 in words is "thirty-three trillion, seven hundred fifty billion, four hundred seventy-two million, eighteen thousand".