45449838720 has 640 divisors, whose sum is σ = 190716482880. Its totient is φ = 10168934400.

The previous prime is 45449838713. The next prime is 45449838727. The reversal of 45449838720 is 2783894454.

45449838720 is a `hidden beast` number, since 4 + 54 + 498 + 3 + 87 + 20 = 666.

It is an interprime number because it is at equal distance from previous prime (45449838713) and next prime (45449838727).

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

It is a super-2 number, since 2×45449838720² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (45449838727) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 7410055 + ... + 7416185.

Almost surely, 2^45449838720 is an apocalyptic number.

45449838720 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 45449838720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95358241440).

45449838720 is an abundant number, since it is smaller than the sum of its proper divisors (145266644160).

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

45449838720 is a wasteful number, since it uses less digits than its factorization.

45449838720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6186 (or 6165 counting only the distinct ones).

The product of its (nonzero) digits is 7741440, while the sum is 54.

The spelling of 45449838720 in words is "forty-five billion, four hundred forty-nine million, eight hundred thirty-eight thousand, seven hundred twenty".