45338163840 has 384 divisors, whose sum is σ = 162720090000. Its totient is φ = 11618353152.

The previous prime is 45338163797. The next prime is 45338163901. The reversal of 45338163840 is 4836183354.

45338163840 is a `hidden beast` number, since 4 + 5 + 3 + 3 + 8 + 1 + 638 + 4 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 5762631744 + 39575532096 = 75912^2 + 198936^2 .

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-3 number, since 3×45338163840³ (a number of 33 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 44933256 + ... + 44934264.

Almost surely, 2^45338163840 is an apocalyptic number.

45338163840 is a gapful number since it is divisible by the number (40) 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 45338163840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81360045000).

45338163840 is an abundant number, since it is smaller than the sum of its proper divisors (117381926160).

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

45338163840 is a wasteful number, since it uses less digits than its factorization.

45338163840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1332 (or 1317 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 45.

It can be divided in two parts, 45338163 and 840, that added together give a triangular number (45339003 = T₉₅₂₂).

The spelling of 45338163840 in words is "forty-five billion, three hundred thirty-eight million, one hundred sixty-three thousand, eight hundred forty".