45955741104 has 480 divisors, whose sum is σ = 168014246400. Its totient is φ = 11386552320.

The previous prime is 45955741103. The next prime is 45955741127. The reversal of 45955741104 is 40114755954.

45955741104 is a `hidden beast` number, since 4 + 59 + 557 + 41 + 1 + 0 + 4 = 666.

It is a super-2 number, since 2×45955741104² (a number of 22 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 45955741104.

It is not an unprimeable number, because it can be changed into a prime (45955741103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 32615152 + ... + 32616560.

It is an arithmetic number, because the mean of its divisors is an integer number (350029680).

Almost surely, 2^45955741104 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45955741104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84007123200).

45955741104 is an abundant number, since it is smaller than the sum of its proper divisors (122058505296).

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

45955741104 is a wasteful number, since it uses less digits than its factorization.

45955741104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1593 (or 1584 counting only the distinct ones).

The product of its (nonzero) digits is 504000, while the sum is 45.

The spelling of 45955741104 in words is "forty-five billion, nine hundred fifty-five million, seven hundred forty-one thousand, one hundred four".