94202418816 has 384 divisors, whose sum is σ = 302369371200. Its totient is φ = 27912192000.

The previous prime is 94202418787. The next prime is 94202418823. The reversal of 94202418816 is 61881420249.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-3 number, since 3×94202418816³ (a number of 34 digits) contains 333 as substring.

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, 113908195 + ... + 113909021.

Almost surely, 2^94202418816 is an apocalyptic number.

94202418816 is a gapful number since it is divisible by the number (96) 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 94202418816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151184685600).

94202418816 is an abundant number, since it is smaller than the sum of its proper divisors (208166952384).

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

94202418816 is a wasteful number, since it uses less digits than its factorization.

94202418816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1048 (or 1033 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 45.

The spelling of 94202418816 in words is "ninety-four billion, two hundred two million, four hundred eighteen thousand, eight hundred sixteen".