201453514000 has 80 divisors (see below), whose sum is σ = 487215374256. Its totient is φ = 80564736000.

The previous prime is 201453513997. The next prime is 201453514007. The reversal of 201453514000 is 415354102.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 35488531456 + 165964982544 = 188384^2 + 407388^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (201453514007) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15235392 + ... + 15248608.

Almost surely, 2^201453514000 is an apocalyptic number.

201453514000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

201453514000 is an abundant number, since it is smaller than the sum of its proper divisors (285761860256).

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

201453514000 is a wasteful number, since it uses less digits than its factorization.

201453514000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20861 (or 20845 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 25.

Adding to 201453514000 its reverse (415354102), we get a palindrome (201868868102).

The spelling of 201453514000 in words is "two hundred one billion, four hundred fifty-three million, five hundred fourteen thousand".