34766141472 has 144 divisors (see below), whose sum is σ = 99978809112. Its totient is φ = 11458990080.

The previous prime is 34766141471. The next prime is 34766141479. The reversal of 34766141472 is 27414166743.

34766141472 is a `hidden beast` number, since 34 + 7 + 6 + 6 + 141 + 472 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 17509640976 + 17256500496 = 132324^2 + 131364^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×34766141472² (a number of 22 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (34766141471) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10927722 + ... + 10930902.

Almost surely, 2^34766141472 is an apocalyptic number.

34766141472 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 34766141472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49989404556).

34766141472 is an abundant number, since it is smaller than the sum of its proper divisors (65212667640).

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

34766141472 is a wasteful number, since it uses less digits than its factorization.

34766141472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3611 (or 3600 counting only the distinct ones).

The product of its digits is 677376, while the sum is 45.

The spelling of 34766141472 in words is "thirty-four billion, seven hundred sixty-six million, one hundred forty-one thousand, four hundred seventy-two".