45089049600 has 528 divisors, whose sum is σ = 189254156800. Its totient is φ = 10304962560.

The previous prime is 45089049583. The next prime is 45089049613. The reversal of 45089049600 is 694098054.

It is a happy number.

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 polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4833741 + ... + 4843059.

Almost surely, 2^45089049600 is an apocalyptic number.

45089049600 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 45089049600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94627078400).

45089049600 is an abundant number, since it is smaller than the sum of its proper divisors (144165107200).

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

45089049600 is a wasteful number, since it uses less digits than its factorization.

45089049600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9365 (or 9336 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The spelling of 45089049600 in words is "forty-five billion, eighty-nine million, forty-nine thousand, six hundred".