22451141315001 has 48 divisors (see below), whose sum is σ = 37548947338560. Its totient is φ = 11857562196480.

The previous prime is 22451141314883. The next prime is 22451141315027. The reversal of 22451141315001 is 10051314115422.

It is not a de Polignac number, because 22451141315001 - 2³³ = 22442551380409 is a prime.

It is a super-2 number, since 2×22451141315001² (a number of 28 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 22451141315001.

It is not an unprimeable number, because it can be changed into a prime (22451141315101) 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, 97914276 + ... + 98143301.

It is an arithmetic number, because the mean of its divisors is an integer number (782269736220).

Almost surely, 2^{22451141315001} is an apocalyptic number.

22451141315001 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

22451141315001 is a deficient number, since it is larger than the sum of its proper divisors (15097806023559).

22451141315001 is a wasteful number, since it uses less digits than its factorization.

22451141315001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 196057654 (or 196057647 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 30.

The spelling of 22451141315001 in words is "twenty-two trillion, four hundred fifty-one billion, one hundred forty-one million, three hundred fifteen thousand, one".