45915959600 has 180 divisors, whose sum is σ = 135872814744. Its totient is φ = 14816471040.

The previous prime is 45915959591. The next prime is 45915959611. The reversal of 45915959600 is 695951954.

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 35 ways as a sum of consecutive naturals, for example, 264299 + ... + 402101.

Almost surely, 2^45915959600 is an apocalyptic number.

45915959600 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 45915959600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67936407372).

45915959600 is an abundant number, since it is smaller than the sum of its proper divisors (89956855144).

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

45915959600 is a wasteful number, since it uses less digits than its factorization.

45915959600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 137852 (or 137834 counting only the distinct ones).

The product of its (nonzero) digits is 2187000, while the sum is 53.

The spelling of 45915959600 in words is "forty-five billion, nine hundred fifteen million, nine hundred fifty-nine thousand, six hundred".