46755085343670 has 192 divisors, whose sum is σ = 134458463280960. Its totient is φ = 11177787801600.

The previous prime is 46755085343653. The next prime is 46755085343723. The reversal of 46755085343670 is 7634358055764.

46755085343670 is a `hidden beast` number, since 4 + 6 + 7 + 5 + 50 + 85 + 3 + 436 + 70 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 46755085343598 and 46755085343607.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 26118096 + ... + 27850764.

It is an arithmetic number, because the mean of its divisors is an integer number (700304496255).

Almost surely, 2^{46755085343670} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 46755085343670, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67229231640480).

46755085343670 is an abundant number, since it is smaller than the sum of its proper divisors (87703377937290).

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

46755085343670 is a wasteful number, since it uses less digits than its factorization.

46755085343670 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1733071 (or 1733068 counting only the distinct ones).

The product of its (nonzero) digits is 254016000, while the sum is 63.

The spelling of 46755085343670 in words is "forty-six trillion, seven hundred fifty-five billion, eighty-five million, three hundred forty-three thousand, six hundred seventy".