46141275765312 has 672 divisors, whose sum is σ = 170160485322240. Its totient is φ = 12152706048000.

The previous prime is 46141275765259. The next prime is 46141275765383. The reversal of 46141275765312 is 21356757214164.

46141275765312 is a `hidden beast` number, since 4 + 6 + 1 + 4 + 1 + 2 + 7 + 576 + 53 + 12 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (54).

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, 826624828 + ... + 826680644.

It is an arithmetic number, because the mean of its divisors is an integer number (253215007920).

Almost surely, 2^{46141275765312} is an apocalyptic number.

46141275765312 is a gapful number since it is divisible by the number (42) 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 46141275765312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85080242661120).

46141275765312 is an abundant number, since it is smaller than the sum of its proper divisors (124019209556928).

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

46141275765312 is a wasteful number, since it uses less digits than its factorization.

46141275765312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56616 (or 56593 counting only the distinct ones).

The product of its digits is 8467200, while the sum is 54.

The spelling of 46141275765312 in words is "forty-six trillion, one hundred forty-one billion, two hundred seventy-five million, seven hundred sixty-five thousand, three hundred twelve".