45444466368 has 448 divisors, whose sum is σ = 166903603200. Its totient is φ = 11824496640.

The previous prime is 45444466357. The next prime is 45444466423. The reversal of 45444466368 is 86366444454.

45444466368 is a `hidden beast` number, since 4 + 544 + 4 + 4 + 66 + 36 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (448).

It is a super-2 number, since 2×45444466368² (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 an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6371028 + ... + 6378156.

Almost surely, 2^45444466368 is an apocalyptic number.

45444466368 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 45444466368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83451801600).

45444466368 is an abundant number, since it is smaller than the sum of its proper divisors (121459136832).

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

45444466368 is a wasteful number, since it uses less digits than its factorization.

45444466368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7205 (or 7189 counting only the distinct ones).

The product of its digits is 26542080, while the sum is 54.

The spelling of 45444466368 in words is "forty-five billion, four hundred forty-four million, four hundred sixty-six thousand, three hundred sixty-eight".