46171406272320 has 896 divisors, whose sum is σ = 190763569582080. Its totient is φ = 10292716707840.

The previous prime is 46171406272309. The next prime is 46171406272337. The reversal of 46171406272320 is 2327260417164.

46171406272320 is a `hidden beast` number, since 4 + 6 + 1 + 7 + 1 + 406 + 2 + 7 + 232 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1797029394 + ... + 1797055086.

Almost surely, 2^{46171406272320} is an apocalyptic number.

46171406272320 is a gapful number since it is divisible by the number (40) 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 46171406272320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95381784791040).

46171406272320 is an abundant number, since it is smaller than the sum of its proper divisors (144592163309760).

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

46171406272320 is a wasteful number, since it uses less digits than its factorization.

46171406272320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26460 (or 26444 counting only the distinct ones).

The product of its (nonzero) digits is 677376, while the sum is 45.

Adding to 46171406272320 its reverse (2327260417164), we get a palindrome (48498666689484).

The spelling of 46171406272320 in words is "forty-six trillion, one hundred seventy-one billion, four hundred six million, two hundred seventy-two thousand, three hundred twenty".