94905561600 has 600 divisors, whose sum is σ = 353643079680. Its totient is φ = 25136455680.

The previous prime is 94905561571. The next prime is 94905561607. The reversal of 94905561600 is 616550949.

It is a happy number.

94905561600 is a `hidden beast` number, since 9 + 4 + 90 + 556 + 1 + 6 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (600).

It is a super-2 number, since 2×94905561600² (a number of 23 digits) contains 22 as substring.

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 (94905561607) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 247795009 + ... + 247795391.

Almost surely, 2^94905561600 is an apocalyptic number.

94905561600 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 94905561600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176821539840).

94905561600 is an abundant number, since it is smaller than the sum of its proper divisors (258737518080).

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

94905561600 is a wasteful number, since it uses less digits than its factorization.

94905561600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 662 (or 632 counting only the distinct ones).

The product of its (nonzero) digits is 291600, while the sum is 45.

The spelling of 94905561600 in words is "ninety-four billion, nine hundred five million, five hundred sixty-one thousand, six hundred".