202553214405345 has 48 divisors (see below), whose sum is σ = 358105869538560. Its totient is φ = 105874776528768.

The previous prime is 202553214405341. The next prime is 202553214405371. The reversal of 202553214405345 is 543504412355202.

202553214405345 is a `hidden beast` number, since 2 + 0 + 2 + 5 + 53 + 21 + 4 + 40 + 534 + 5 = 666.

It is not a de Polignac number, because 202553214405345 - 2² = 202553214405341 is a prime.

It is a super-2 number, since 2×202553214405345² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 202553214405345.

It is not an unprimeable number, because it can be changed into a prime (202553214405341) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 44014917 + ... + 48398546.

It is an arithmetic number, because the mean of its divisors is an integer number (7460538948720).

Almost surely, 2^{202553214405345} is an apocalyptic number.

It is an amenable number.

202553214405345 is a deficient number, since it is larger than the sum of its proper divisors (155552655133215).

202553214405345 is a wasteful number, since it uses less digits than its factorization.

202553214405345 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 92414446 (or 92414443 counting only the distinct ones).

The product of its (nonzero) digits is 2880000, while the sum is 45.

The spelling of 202553214405345 in words is "two hundred two trillion, five hundred fifty-three billion, two hundred fourteen million, four hundred five thousand, three hundred forty-five".