45596612880 has 960 divisors, whose sum is σ = 203286988800. Its totient is φ = 9301340160.

The previous prime is 45596612879. The next prime is 45596612881. The reversal of 45596612880 is 8821669554.

45596612880 is a `hidden beast` number, since 4 + 559 + 6 + 6 + 1 + 2 + 8 + 80 = 666.

It is an interprime number because it is at equal distance from previous prime (45596612879) and next prime (45596612881).

It is a super-2 number, since 2×45596612880² (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 (45596612881) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 42652986 + ... + 42654054.

It is an arithmetic number, because the mean of its divisors is an integer number (211757280).

Almost surely, 2^45596612880 is an apocalyptic number.

45596612880 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 45596612880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101643494400).

45596612880 is an abundant number, since it is smaller than the sum of its proper divisors (157690375920).

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

45596612880 is a wasteful number, since it uses less digits than its factorization.

45596612880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1149 (or 1130 counting only the distinct ones).

The product of its (nonzero) digits is 4147200, while the sum is 54.

The spelling of 45596612880 in words is "forty-five billion, five hundred ninety-six million, six hundred twelve thousand, eight hundred eighty".