45778901112 has 512 divisors, whose sum is σ = 165369600000. Its totient is φ = 11656286208.

The previous prime is 45778901111. The next prime is 45778901117. The reversal of 45778901112 is 21110987754.

It is a happy number.

45778901112 is a `hidden beast` number, since 457 + 7 + 89 + 0 + 1 + 112 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45778901111) 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, 23929468 + ... + 23931380.

It is an arithmetic number, because the mean of its divisors is an integer number (322987500).

Almost surely, 2^45778901112 is an apocalyptic number.

45778901112 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 45778901112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82684800000).

45778901112 is an abundant number, since it is smaller than the sum of its proper divisors (119590698888).

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

45778901112 is a wasteful number, since it uses less digits than its factorization.

45778901112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1985 (or 1961 counting only the distinct ones).

The product of its (nonzero) digits is 141120, while the sum is 45.

The spelling of 45778901112 in words is "forty-five billion, seven hundred seventy-eight million, nine hundred one thousand, one hundred twelve".