19462540032001 has 48 divisors (see below), whose sum is σ = 22186551376080. Its totient is φ = 17039809740800.

The previous prime is 19462540031999. The next prime is 19462540032083. The reversal of 19462540032001 is 10023004526491.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 2575174420225 + 16887365611776 = 1604735^2 + 4109424^2 .

It is not a de Polignac number, because 19462540032001 - 2¹ = 19462540031999 is a prime.

It is a super-2 number, since 2×19462540032001² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (19462540032101) 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, 2683374291 + ... + 2683381543.

It is an arithmetic number, because the mean of its divisors is an integer number (462219820335).

Almost surely, 2^{19462540032001} is an apocalyptic number.

19462540032001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

19462540032001 is a deficient number, since it is larger than the sum of its proper divisors (2724011344079).

19462540032001 is a wasteful number, since it uses less digits than its factorization.

19462540032001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9138 (or 9127 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 37.

Adding to 19462540032001 its reverse (10023004526491), we get a palindrome (29485544558492).

The spelling of 19462540032001 in words is "nineteen trillion, four hundred sixty-two billion, five hundred forty million, thirty-two thousand, one".