35456521344 has 64 divisors (see below), whose sum is σ = 94292667840. Its totient is φ = 11804875776.

The previous prime is 35456521301. The next prime is 35456521349. The reversal of 35456521344 is 44312565453.

It is a tau number, because it is divible by the number of its divisors (64).

It is a junction number, because it is equal to n+sod(n) for n = 35456521296 and 35456521305.

It is not an unprimeable number, because it can be changed into a prime (35456521349) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 273429 + ... + 381675.

It is an arithmetic number, because the mean of its divisors is an integer number (1473322935).

Almost surely, 2^35456521344 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 35456521344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47146333920).

35456521344 is an abundant number, since it is smaller than the sum of its proper divisors (58836146496).

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

35456521344 is a wasteful number, since it uses less digits than its factorization.

35456521344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109117 (or 109105 counting only the distinct ones).

The product of its digits is 864000, while the sum is 42.

The spelling of 35456521344 in words is "thirty-five billion, four hundred fifty-six million, five hundred twenty-one thousand, three hundred forty-four".