45696820862112 has 384 divisors, whose sum is σ = 150435765043200. Its totient is φ = 11851536384000.

The previous prime is 45696820862107. The next prime is 45696820862141. The reversal of 45696820862112 is 21126802869654.

45696820862112 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 39405064 + ... + 40548152.

It is an arithmetic number, because the mean of its divisors is an integer number (391759804800).

Almost surely, 2^{45696820862112} is an apocalyptic number.

45696820862112 is a gapful number since it is divisible by the number (42) 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 45696820862112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75217882521600).

45696820862112 is an abundant number, since it is smaller than the sum of its proper divisors (104738944181088).

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

45696820862112 is a wasteful number, since it uses less digits than its factorization.

45696820862112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1143260 (or 1143252 counting only the distinct ones).

The product of its (nonzero) digits is 19906560, while the sum is 60.

The spelling of 45696820862112 in words is "forty-five trillion, six hundred ninety-six billion, eight hundred twenty million, eight hundred sixty-two thousand, one hundred twelve".