351981189153 has 32 divisors (see below), whose sum is σ = 578500185600. Its totient is φ = 209706296400.

The previous prime is 351981189151. The next prime is 351981189167.

It is a happy number.

351981189153 is a `hidden beast` number, since 3 + 519 + 8 + 118 + 9 + 1 + 5 + 3 = 666.

351981189153 is nontrivially palindromic in base 10.

351981189153 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 351981189153 - 2¹ = 351981189151 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 351981189153.

It is not an unprimeable number, because it can be changed into a prime (351981189151) 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, 10025883 + ... + 10060928.

It is an arithmetic number, because the mean of its divisors is an integer number (18078130800).

Almost surely, 2^351981189153 is an apocalyptic number.

351981189153 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

It is an amenable number.

351981189153 is a deficient number, since it is larger than the sum of its proper divisors (226518996447).

351981189153 is a wasteful number, since it uses less digits than its factorization.

351981189153 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20086890 (or 20086884 counting only the distinct ones).

The product of its digits is 1166400, while the sum is 54.

The spelling of 351981189153 in words is "three hundred fifty-one billion, nine hundred eighty-one million, one hundred eighty-nine thousand, one hundred fifty-three".