45838016640 has 640 divisors, whose sum is σ = 186704345520. Its totient is φ = 10616832000.

The previous prime is 45838016639. The next prime is 45838016689. The reversal of 45838016640 is 4661083854.

45838016640 is a `hidden beast` number, since 4 + 583 + 8 + 0 + 1 + 6 + 64 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 6147814464 + 39690202176 = 78408^2 + 199224^2 .

It is a tau number, because it is divible by the number of its divisors (640).

It is a super-2 number, since 2×45838016640² (a number of 22 digits) contains 22 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 (11) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 11454640 + ... + 11458640.

Almost surely, 2^45838016640 is an apocalyptic number.

45838016640 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 45838016640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93352172760).

45838016640 is an abundant number, since it is smaller than the sum of its proper divisors (140866328880).

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

45838016640 is a wasteful number, since it uses less digits than its factorization.

45838016640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4062 (or 4041 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The spelling of 45838016640 in words is "forty-five billion, eight hundred thirty-eight million, sixteen thousand, six hundred forty".