94949116693120 has 128 divisors (see below), whose sum is σ = 231015764880000. Its totient is φ = 37309537628160.

The previous prime is 94949116693103. The next prime is 94949116693127. The reversal of 94949116693120 is 2139661194949.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-3 number, since 3×94949116693120³ (a number of 43 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (64).

It is not an unprimeable number, because it can be changed into a prime (94949116693127) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8815131 + ... + 16358629.

It is an arithmetic number, because the mean of its divisors is an integer number (1804810663125).

Almost surely, 2^{94949116693120} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 94949116693120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115507882440000).

94949116693120 is an abundant number, since it is smaller than the sum of its proper divisors (136066648186880).

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

94949116693120 is a wasteful number, since it uses less digits than its factorization.

94949116693120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7543866 (or 7543854 counting only the distinct ones).

The product of its (nonzero) digits is 22674816, while the sum is 64.

The spelling of 94949116693120 in words is "ninety-four trillion, nine hundred forty-nine billion, one hundred sixteen million, six hundred ninety-three thousand, one hundred twenty".