46973532668176 has 225 divisors, whose sum is σ = 98775490140453. Its totient is φ = 21640222306560.

The previous prime is 46973532668137. The next prime is 46973532668189. The reversal of 46973532668176 is 67186623537964.

The square root of 46973532668176 is 6853724.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 2263448034576 + 44710084633600 = 1504476^2 + 6686560^2 .

It is a super-3 number, since 3×46973532668176³ (a number of 42 digits) contains 333 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 46973532668099 and 46973532668108.

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 594601679305 + ... + 594601679383.

Almost surely, 2^{46973532668176} is an apocalyptic number.

46973532668176 is a gapful number since it is divisible by the number (46) formed by its first and last digit.

46973532668176 is the 6853724-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 46973532668176

46973532668176 is an abundant number, since it is smaller than the sum of its proper divisors (51801957472277).

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

46973532668176 is an frugal number, since it uses more digits than its factorization.

46973532668176 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 340 (or 145 counting only the distinct ones).

The product of its digits is 1646023680, while the sum is 73.

The spelling of 46973532668176 in words is "forty-six trillion, nine hundred seventy-three billion, five hundred thirty-two million, six hundred sixty-eight thousand, one hundred seventy-six".