46105313361120 has 576 divisors, whose sum is σ = 178187434274304. Its totient is φ = 11189146429440.

The previous prime is 46105313361077. The next prime is 46105313361167. The reversal of 46105313361120 is 2116331350164.

46105313361120 is a `hidden beast` number, since 4 + 6 + 1 + 0 + 5 + 3 + 1 + 33 + 611 + 2 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 35243859 + ... + 36528621.

It is an arithmetic number, because the mean of its divisors is an integer number (309353184504).

Almost surely, 2^{46105313361120} is an apocalyptic number.

46105313361120 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 46105313361120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89093717137152).

46105313361120 is an abundant number, since it is smaller than the sum of its proper divisors (132082120913184).

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

46105313361120 is a wasteful number, since it uses less digits than its factorization.

46105313361120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1284877 (or 1284857 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The spelling of 46105313361120 in words is "forty-six trillion, one hundred five billion, three hundred thirteen million, three hundred sixty-one thousand, one hundred twenty".