479198161891974 has 192 divisors, whose sum is σ = 1143542109007872. Its totient is φ = 133443109800000.

The previous prime is 479198161891973. The next prime is 479198161891997.

It is a happy number.

479198161891974 is nontrivially palindromic in base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (479198161891973) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 746252967 + ... + 746894829.

It is an arithmetic number, because the mean of its divisors is an integer number (5955948484416).

Almost surely, 2^{479198161891974} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 479198161891974, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (571771054503936).

479198161891974 is an abundant number, since it is smaller than the sum of its proper divisors (664343947115898).

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

479198161891974 is a wasteful number, since it uses less digits than its factorization.

479198161891974 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 642351 (or 642344 counting only the distinct ones).

The product of its digits is 1975228416, while the sum is 84.

The spelling of 479198161891974 in words is "four hundred seventy-nine trillion, one hundred ninety-eight billion, one hundred sixty-one million, eight hundred ninety-one thousand, nine hundred seventy-four".