45263214033102 has 96 divisors (see below), whose sum is σ = 107688513494016. Its totient is φ = 13655061388800.

The previous prime is 45263214033077. The next prime is 45263214033109. The reversal of 45263214033102 is 20133041236254.

45263214033102 is a `hidden beast` number, since 4 + 5 + 2 + 632 + 1 + 4 + 0 + 3 + 3 + 10 + 2 = 666.

45263214033102 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45263214033109) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 597774 + ... + 9533297.

It is an arithmetic number, because the mean of its divisors is an integer number (1121755348896).

Almost surely, 2^{45263214033102} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45263214033102, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53844256747008).

45263214033102 is an abundant number, since it is smaller than the sum of its proper divisors (62425299460914).

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

45263214033102 is a wasteful number, since it uses less digits than its factorization.

45263214033102 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10131466 (or 10131463 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 36.

Adding to 45263214033102 its reverse (20133041236254), we get a palindrome (65396255269356).

The spelling of 45263214033102 in words is "forty-five trillion, two hundred sixty-three billion, two hundred fourteen million, thirty-three thousand, one hundred two".