46172206080 has 1782 divisors, whose sum is σ = 221508314118. Its totient is φ = 8856207360.

The previous prime is 46172206063. The next prime is 46172206081. The reversal of 46172206080 is 8060227164.

46172206080 is a `hidden beast` number, since 46 + 1 + 7 + 2 + 2 + 0 + 608 + 0 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 218566656 + 45953639424 = 14784^2 + 214368^2 .

It is a super-2 number, since 2×46172206080² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (46172206081) by changing a digit.

It is a polite number, since it can be written in 161 ways as a sum of consecutive naturals, for example, 3551708154 + ... + 3551708166.

Almost surely, 2^46172206080 is an apocalyptic number.

46172206080 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 46172206080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110754157059).

46172206080 is an abundant number, since it is smaller than the sum of its proper divisors (175336108038).

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

46172206080 is a wasteful number, since it uses less digits than its factorization.

46172206080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 93 (or 41 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

It can be divided in two parts, 46172 and 206080, that added together give a palindrome (252252).

The spelling of 46172206080 in words is "forty-six billion, one hundred seventy-two million, two hundred six thousand, eighty".