35946828948464 has 80 divisors (see below), whose sum is σ = 80292310867968. Its totient is φ = 15271329136896.

The previous prime is 35946828948451. The next prime is 35946828948467. The reversal of 35946828948464 is 46484982864953.

It is a super-2 number, since 2×35946828948464² (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (35946828948467) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15456014 + ... + 17629010.

Almost surely, 2^{35946828948464} 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 35946828948464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40146155433984).

35946828948464 is an abundant number, since it is smaller than the sum of its proper divisors (44345481919504).

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

35946828948464 is a wasteful number, since it uses less digits than its factorization.

35946828948464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2174302 (or 2174296 counting only the distinct ones).

The product of its digits is 11466178560, while the sum is 80.

The spelling of 35946828948464 in words is "thirty-five trillion, nine hundred forty-six billion, eight hundred twenty-eight million, nine hundred forty-eight thousand, four hundred sixty-four".