46020152328192 has 1224 divisors, whose sum is σ = 160948586215872. Its totient is φ = 12624121036800.

The previous prime is 46020152328169. The next prime is 46020152328217. The reversal of 46020152328192 is 29182325102064.

46020152328192 is a `hidden beast` number, since 4 + 60 + 201 + 5 + 23 + 281 + 92 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 84131905263 + ... + 84131905809.

Almost surely, 2^{46020152328192} is an apocalyptic number.

46020152328192 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 46020152328192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80474293107936).

46020152328192 is an abundant number, since it is smaller than the sum of its proper divisors (114928433887680).

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

46020152328192 is an equidigital number, since it uses as much as digits as its factorization.

46020152328192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 711 (or 671 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The spelling of 46020152328192 in words is "forty-six trillion, twenty billion, one hundred fifty-two million, three hundred twenty-eight thousand, one hundred ninety-two".