352449944253 has 32 divisors (see below), whose sum is σ = 585011118720. Its totient is φ = 207832884480.

The previous prime is 352449944137. The next prime is 352449944281.

It is a happy number.

352449944253 is a `hidden beast` number, since 3 + 524 + 4 + 9 + 94 + 4 + 25 + 3 = 666.

352449944253 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 352449944253 - 2¹³ = 352449936061 is a prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 352449944253.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (352449943253) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 16025500 + ... + 16047477.

It is an arithmetic number, because the mean of its divisors is an integer number (18281597460).

Almost surely, 2^352449944253 is an apocalyptic number.

352449944253 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

It is an amenable number.

352449944253 is a deficient number, since it is larger than the sum of its proper divisors (232561174467).

352449944253 is a wasteful number, since it uses less digits than its factorization.

352449944253 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32073034 (or 32073028 counting only the distinct ones).

The product of its digits is 18662400, while the sum is 54.

The spelling of 352449944253 in words is "three hundred fifty-two billion, four hundred forty-nine million, nine hundred forty-four thousand, two hundred fifty-three".