354153444351453 has 64 divisors (see below), whose sum is σ = 546954681081600. Its totient is φ = 226201012128000.

The previous prime is 354153444351419. The next prime is 354153444351457.

354153444351453 is a `hidden beast` number, since 3 + 5 + 4 + 1 + 5 + 34 + 4 + 43 + 514 + 53 = 666.

354153444351453 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 354153444351453 - 2¹⁶ = 354153444285917 is a prime.

It is a super-2 number, since 2×354153444351453² (a number of 30 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 354153444351453.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (354153444351457) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1228783023 + ... + 1229071203.

It is an arithmetic number, because the mean of its divisors is an integer number (8546166891900).

Almost surely, 2^{354153444351453} is an apocalyptic number.

It is an amenable number.

354153444351453 is a deficient number, since it is larger than the sum of its proper divisors (192801236730147).

354153444351453 is a wasteful number, since it uses less digits than its factorization.

354153444351453 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 300331 (or 300325 counting only the distinct ones).

The product of its digits is 51840000, while the sum is 54.

The spelling of 354153444351453 in words is "three hundred fifty-four trillion, one hundred fifty-three billion, four hundred forty-four million, three hundred fifty-one thousand, four hundred fifty-three".