45178560000 has 1200 divisors, whose sum is σ = 195432741504. Its totient is φ = 10202112000.

The previous prime is 45178559999. The next prime is 45178560017. The reversal of 45178560000 is 6587154.

45178560000 is a `hidden beast` number, since 4 + 517 + 85 + 60 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1200).

It is a super-2 number, since 2×45178560000² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 544319959 + ... + 544320041.

Almost surely, 2^45178560000 is an apocalyptic number.

45178560000 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 45178560000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97716370752).

45178560000 is an abundant number, since it is smaller than the sum of its proper divisors (150254181504).

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

45178560000 is an frugal number, since it uses more digits than its factorization.

45178560000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 143 (or 100 counting only the distinct ones).

The product of its (nonzero) digits is 33600, while the sum is 36.

The spelling of 45178560000 in words is "forty-five billion, one hundred seventy-eight million, five hundred sixty thousand".