45512106336 has 480 divisors, whose sum is σ = 146829957120. Its totient is φ = 13787034624.

The previous prime is 45512106331. The next prime is 45512106337. The reversal of 45512106336 is 63360121554.

45512106336 is a `hidden beast` number, since 4 + 5 + 5 + 1 + 2 + 10 + 633 + 6 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 45512106336.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45512106331) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 103672005 + ... + 103672443.

It is an arithmetic number, because the mean of its divisors is an integer number (305895744).

Almost surely, 2^45512106336 is an apocalyptic number.

45512106336 is a gapful number since it is divisible by the number (46) 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 45512106336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73414978560).

45512106336 is an abundant number, since it is smaller than the sum of its proper divisors (101317850784).

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

45512106336 is a wasteful number, since it uses less digits than its factorization.

45512106336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 568 (or 551 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 36.

The spelling of 45512106336 in words is "forty-five billion, five hundred twelve million, one hundred six thousand, three hundred thirty-six".