45411888600 has 1008 divisors, whose sum is σ = 182297316600. Its totient is φ = 10480803840.

The previous prime is 45411888553. The next prime is 45411888637. The reversal of 45411888600 is 688811454.

45411888600 is a `hidden beast` number, since 454 + 118 + 8 + 86 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 251 ways as a sum of consecutive naturals, for example, 468163752 + ... + 468163848.

Almost surely, 2^45411888600 is an apocalyptic number.

45411888600 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 45411888600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91148658300).

45411888600 is an abundant number, since it is smaller than the sum of its proper divisors (136885428000).

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

45411888600 is a wasteful number, since it uses less digits than its factorization.

45411888600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 176 (or 139 counting only the distinct ones).

The product of its (nonzero) digits is 245760, while the sum is 45.

The spelling of 45411888600 in words is "forty-five billion, four hundred eleven million, eight hundred eighty-eight thousand, six hundred".