245154100032 has 168 divisors, whose sum is σ = 713569953096. Its totient is φ = 80461430784.

The previous prime is 245154099959. The next prime is 245154100033. The reversal of 245154100032 is 230001451542.

245154100032 is a `hidden beast` number, since 245 + 1 + 5 + 410 + 0 + 0 + 3 + 2 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 24193935936 + 220960164096 = 155544^2 + 470064^2 .

It is a junction number, because it is equal to n+sod(n) for n = 245154099969 and 245154100005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (245154100033) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10995648 + ... + 11017920.

It is an arithmetic number, because the mean of its divisors is an integer number (4247440197).

Almost surely, 2^245154100032 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 245154100032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (356784976548).

245154100032 is an abundant number, since it is smaller than the sum of its proper divisors (468415853064).

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

245154100032 is a wasteful number, since it uses less digits than its factorization.

245154100032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22585 (or 22572 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

Adding to 245154100032 its reverse (230001451542), we get a palindrome (475155551574).

The spelling of 245154100032 in words is "two hundred forty-five billion, one hundred fifty-four million, one hundred thousand, thirty-two".