46173661680 has 240 divisors, whose sum is σ = 151505838720. Its totient is φ = 11631195648.

The previous prime is 46173661669. The next prime is 46173661697. The reversal of 46173661680 is 8616637164.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 45312211 + ... + 45313229.

It is an arithmetic number, because the mean of its divisors is an integer number (631274328).

Almost surely, 2^46173661680 is an apocalyptic number.

46173661680 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 46173661680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75752919360).

46173661680 is an abundant number, since it is smaller than the sum of its proper divisors (105332177040).

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

46173661680 is a wasteful number, since it uses less digits than its factorization.

46173661680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1596 (or 1571 counting only the distinct ones).

The product of its (nonzero) digits is 870912, while the sum is 48.

The spelling of 46173661680 in words is "forty-six billion, one hundred seventy-three million, six hundred sixty-one thousand, six hundred eighty".