35245212634632 has 768 divisors, whose sum is σ = 123466026297600. Its totient is φ = 8236892160000.

The previous prime is 35245212634609. The next prime is 35245212634733. The reversal of 35245212634632 is 23643621254253.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 13107180744 + ... + 13107183432.

It is an arithmetic number, because the mean of its divisors is an integer number (160763055075).

Almost surely, 2^{35245212634632} 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 35245212634632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61733013148800).

35245212634632 is an abundant number, since it is smaller than the sum of its proper divisors (88220813662968).

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

35245212634632 is a wasteful number, since it uses less digits than its factorization.

35245212634632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4678 (or 4667 counting only the distinct ones).

The product of its digits is 6220800, while the sum is 48.

Adding to 35245212634632 its reverse (23643621254253), we get a palindrome (58888833888885).

The spelling of 35245212634632 in words is "thirty-five trillion, two hundred forty-five billion, two hundred twelve million, six hundred thirty-four thousand, six hundred thirty-two".