45643340160 has 512 divisors, whose sum is σ = 178047936000. Its totient is φ = 10958561280.

The previous prime is 45643340147. The next prime is 45643340177. The reversal of 45643340160 is 6104334654.

45643340160 is a `hidden beast` number, since 4 + 5 + 643 + 3 + 4 + 0 + 1 + 6 + 0 = 666.

It is a super-2 number, since 2×45643340160² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 20717619 + ... + 20719821.

It is an arithmetic number, because the mean of its divisors is an integer number (347749875).

Almost surely, 2^45643340160 is an apocalyptic number.

45643340160 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 45643340160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89023968000).

45643340160 is an abundant number, since it is smaller than the sum of its proper divisors (132404595840).

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

45643340160 is a wasteful number, since it uses less digits than its factorization.

45643340160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2351 (or 2333 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 36.

The spelling of 45643340160 in words is "forty-five billion, six hundred forty-three million, three hundred forty thousand, one hundred sixty".