35145403045312 has 112 divisors (see below), whose sum is σ = 79948552320000. Its totient is φ = 15016281191424.

The previous prime is 35145403045283. The next prime is 35145403045531. The reversal of 35145403045312 is 21354030454153.

It is a tau number, because it is divible by the number of its divisors (112).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 365748889 + ... + 365844967.

It is an arithmetic number, because the mean of its divisors is an integer number (713826360000).

Almost surely, 2^{35145403045312} is an apocalyptic number.

35145403045312 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 35145403045312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39974276160000).

35145403045312 is an abundant number, since it is smaller than the sum of its proper divisors (44803149274688).

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

35145403045312 is a wasteful number, since it uses less digits than its factorization.

35145403045312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 98586 (or 98576 counting only the distinct ones).

The product of its (nonzero) digits is 432000, while the sum is 40.

Adding to 35145403045312 its reverse (21354030454153), we get a palindrome (56499433499465).

The spelling of 35145403045312 in words is "thirty-five trillion, one hundred forty-five billion, four hundred three million, forty-five thousand, three hundred twelve".