35493688844964 has 189 divisors, whose sum is σ = 108339830450481. Its totient is φ = 10140410528640.

The previous prime is 35493688844947. The next prime is 35493688845037. The reversal of 35493688844964 is 46944888639453.

The square root of 35493688844964 is 5957658.

It is a perfect power (a square), and thus also a powerful number.

35493688844964 is a `hidden beast` number, since 3 + 5 + 4 + 9 + 36 + 8 + 88 + 449 + 64 = 666.

It can be written as a sum of positive squares in only one way, i.e., 22544054771364 + 12949634073600 = 4748058^2 + 3598560^2 .

It is a tau number, because it is divible by the number of its divisors (189).

It is a super-2 number, since 2×35493688844964² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (81).

It is an unprimeable number.

It is a polite number, since it can be written in 62 ways as a sum of consecutive naturals, for example, 2251986844 + ... + 2252002604.

Almost surely, 2^{35493688844964} is an apocalyptic number.

35493688844964 is the 5957658-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 35493688844964

35493688844964 is an abundant number, since it is smaller than the sum of its proper divisors (72846141605517).

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

35493688844964 is an frugal number, since it uses more digits than its factorization.

35493688844964 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31558 (or 15773 counting only the distinct ones).

The product of its digits is 17199267840, while the sum is 81.

35493688844964 divided by its sum of digits (81) gives a square (438193689444 = 661962²).

The spelling of 35493688844964 in words is "thirty-five trillion, four hundred ninety-three billion, six hundred eighty-eight million, eight hundred forty-four thousand, nine hundred sixty-four".