45576467589888 has 216 divisors, whose sum is σ = 135003563444400. Its totient is φ = 15166731423744.

The previous prime is 45576467589847. The next prime is 45576467589911. The reversal of 45576467589888 is 88898576467554.

45576467589888 is a `hidden beast` number, since 4 + 5 + 5 + 7 + 6 + 467 + 58 + 98 + 8 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (216).

It is a super-2 number, since 2×45576467589888² (a number of 28 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 45576467589798 and 45576467589807.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 2648400228 + ... + 2648417436.

Almost surely, 2^{45576467589888} is an apocalyptic number.

45576467589888 is a gapful number since it is divisible by the number (48) 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 45576467589888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67501781722200).

45576467589888 is an abundant number, since it is smaller than the sum of its proper divisors (89427095854512).

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

45576467589888 is an frugal number, since it uses more digits than its factorization.

45576467589888 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18472 (or 17833 counting only the distinct ones).

The product of its digits is 130056192000, while the sum is 90.

The spelling of 45576467589888 in words is "forty-five trillion, five hundred seventy-six billion, four hundred sixty-seven million, five hundred eighty-nine thousand, eight hundred eighty-eight".