35456508672 has 144 divisors (see below), whose sum is σ = 101908100448. Its totient is φ = 10879303680.

The previous prime is 35456508631. The next prime is 35456508679. The reversal of 35456508672 is 27680565453.

It is a super-2 number, since 2×35456508672² (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (35456508679) 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 15 ways as a sum of consecutive naturals, for example, 3719272 + ... + 3728792.

It is an arithmetic number, because the mean of its divisors is an integer number (707695142).

Almost surely, 2^35456508672 is an apocalyptic number.

35456508672 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 35456508672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50954050224).

35456508672 is an abundant number, since it is smaller than the sum of its proper divisors (66451591776).

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

35456508672 is a wasteful number, since it uses less digits than its factorization.

35456508672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9926 (or 9912 counting only the distinct ones).

The product of its (nonzero) digits is 6048000, while the sum is 51.

The spelling of 35456508672 in words is "thirty-five billion, four hundred fifty-six million, five hundred eight thousand, six hundred seventy-two".