373646164416 has 112 divisors (see below), whose sum is σ = 1131358493184. Its totient is φ = 106612079616.

The previous prime is 373646164399. The next prime is 373646164429. The reversal of 373646164416 is 614461646373.

It is a tau number, because it is divible by the number of its divisors (112).

It is a super-3 number, since 3×373646164416³ (a number of 36 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a hoax number, since the sum of its digits (51) coincides with the sum of the digits of its distinct prime factors.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 811506 + ... + 1185678.

Almost surely, 2^373646164416 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 373646164416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (565679246592).

373646164416 is an abundant number, since it is smaller than the sum of its proper divisors (757712328768).

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

373646164416 is a wasteful number, since it uses less digits than its factorization.

373646164416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 374938 (or 374928 counting only the distinct ones).

The product of its digits is 5225472, while the sum is 51.

The spelling of 373646164416 in words is "three hundred seventy-three billion, six hundred forty-six million, one hundred sixty-four thousand, four hundred sixteen".