2045254401432 has 512 divisors, whose sum is σ = 6385167360000. Its totient is φ = 601386508800.

The previous prime is 2045254401431. The next prime is 2045254401439. The reversal of 2045254401432 is 2341044525402.

2045254401432 is a `hidden beast` number, since 20 + 4 + 52 + 5 + 440 + 143 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2045254401431) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 5396449419 + ... + 5396449797.

It is an arithmetic number, because the mean of its divisors is an integer number (12471030000).

Almost surely, 2^{2045254401432} is an apocalyptic number.

2045254401432 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2045254401432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3192583680000).

2045254401432 is an abundant number, since it is smaller than the sum of its proper divisors (4339912958568).

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

2045254401432 is a wasteful number, since it uses less digits than its factorization.

2045254401432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 892 (or 882 counting only the distinct ones).

The product of its (nonzero) digits is 153600, while the sum is 36.

Adding to 2045254401432 its reverse (2341044525402), we get a palindrome (4386298926834).

The spelling of 2045254401432 in words is "two trillion, forty-five billion, two hundred fifty-four million, four hundred one thousand, four hundred thirty-two".