45199983456 has 144 divisors (see below), whose sum is σ = 134952120576. Its totient is φ = 14322832128.

The previous prime is 45199983427. The next prime is 45199983457. The reversal of 45199983456 is 65438999154.

45199983456 is a `hidden beast` number, since 4 + 5 + 1 + 99 + 98 + 3 + 456 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a junction number, because it is equal to n+sod(n) for n = 45199983393 and 45199983402.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45199983457) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1058781 + ... + 1100643.

It is an arithmetic number, because the mean of its divisors is an integer number (937167504).

Almost surely, 2^45199983456 is an apocalyptic number.

45199983456 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 45199983456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67476060288).

45199983456 is an abundant number, since it is smaller than the sum of its proper divisors (89752137120).

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

45199983456 is a wasteful number, since it uses less digits than its factorization.

45199983456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42065 (or 42054 counting only the distinct ones).

The product of its digits is 41990400, while the sum is 63.

The spelling of 45199983456 in words is "forty-five billion, one hundred ninety-nine million, nine hundred eighty-three thousand, four hundred fifty-six".