994177400832 has 1680 divisors, whose sum is σ = 3960778493952. Its totient is φ = 241745264640.

The previous prime is 994177400807. The next prime is 994177400833. The reversal of 994177400832 is 238004771499.

994177400832 is a `hidden beast` number, since 9 + 94 + 1 + 77 + 400 + 83 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (994177400833) by changing a digit.

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 111 ways as a sum of consecutive naturals, for example, 21152710633 + ... + 21152710679.

Almost surely, 2^994177400832 is an apocalyptic number.

994177400832 is a gapful number since it is divisible by the number (92) 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 994177400832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1980389246976).

994177400832 is an abundant number, since it is smaller than the sum of its proper divisors (2966601093120).

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

994177400832 is an equidigital number, since it uses as much as digits as its factorization.

994177400832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 134 (or 93 counting only the distinct ones).

The product of its (nonzero) digits is 3048192, while the sum is 54.

The spelling of 994177400832 in words is "nine hundred ninety-four billion, one hundred seventy-seven million, four hundred thousand, eight hundred thirty-two".