96417451800 has 144 divisors (see below), whose sum is σ = 324525825000. Its totient is φ = 25653841920.

The previous prime is 96417451769. The next prime is 96417451807. The reversal of 96417451800 is 815471469.

96417451800 is a `hidden beast` number, since 9 + 64 + 1 + 74 + 518 + 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 not an unprimeable number, because it can be changed into a prime (96417451807) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 748551 + ... + 867849.

Almost surely, 2^96417451800 is an apocalyptic number.

96417451800 is a gapful number since it is divisible by the number (90) 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 96417451800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162262912500).

96417451800 is an abundant number, since it is smaller than the sum of its proper divisors (228108373200).

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

96417451800 is a wasteful number, since it uses less digits than its factorization.

96417451800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 119770 (or 119758 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

The spelling of 96417451800 in words is "ninety-six billion, four hundred seventeen million, four hundred fifty-one thousand, eight hundred".