46523152327680 has 3168 divisors, whose sum is σ = 203535370321920. Its totient is φ = 10148284661760.

The previous prime is 46523152327679. The next prime is 46523152327721. The reversal of 46523152327680 is 8672325132564.

46523152327680 is a `hidden beast` number, since 4 + 6 + 5 + 2 + 31 + 523 + 2 + 7 + 6 + 80 = 666.

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 287 ways as a sum of consecutive naturals, for example, 194657541001 + ... + 194657541239.

Almost surely, 2^{46523152327680} is an apocalyptic number.

46523152327680 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 46523152327680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101767685160960).

46523152327680 is an abundant number, since it is smaller than the sum of its proper divisors (157012217994240).

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

46523152327680 is a wasteful number, since it uses less digits than its factorization.

46523152327680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 427 (or 390 counting only the distinct ones).

The product of its (nonzero) digits is 14515200, while the sum is 54.

The spelling of 46523152327680 in words is "forty-six trillion, five hundred twenty-three billion, one hundred fifty-two million, three hundred twenty-seven thousand, six hundred eighty".