45862803288 has 288 divisors, whose sum is σ = 139509115200. Its totient is φ = 14076021888.

The previous prime is 45862803271. The next prime is 45862803289. The reversal of 45862803288 is 88230826854.

45862803288 is a `hidden beast` number, since 4 + 5 + 8 + 628 + 0 + 3 + 2 + 8 + 8 = 666.

It is a super-2 number, since 2×45862803288² (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 a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45862803289) 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 71 ways as a sum of consecutive naturals, for example, 50564931 + ... + 50565837.

It is an arithmetic number, because the mean of its divisors is an integer number (484406650).

Almost surely, 2^45862803288 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 45862803288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69754557600).

45862803288 is an abundant number, since it is smaller than the sum of its proper divisors (93646311912).

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

45862803288 is a wasteful number, since it uses less digits than its factorization.

45862803288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1021 (or 968 counting only the distinct ones).

The product of its (nonzero) digits is 5898240, while the sum is 54.

The spelling of 45862803288 in words is "forty-five billion, eight hundred sixty-two million, eight hundred three thousand, two hundred eighty-eight".