46011350160000 has 960 divisors, whose sum is σ = 171801236006400. Its totient is φ = 12253731840000.

The previous prime is 46011350159993. The next prime is 46011350160079. The reversal of 46011350160000 is 6105311064.

46011350160000 is a `hidden beast` number, since 4 + 6 + 0 + 1 + 1 + 3 + 50 + 1 + 600 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

It is a super-2 number, since 2×46011350160000² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 28596239196 + ... + 28596240804.

It is an arithmetic number, because the mean of its divisors is an integer number (178959620840).

Almost surely, 2^{46011350160000} is an apocalyptic number.

46011350160000 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 46011350160000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85900618003200).

46011350160000 is an abundant number, since it is smaller than the sum of its proper divisors (125789885846400).

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

46011350160000 is an equidigital number, since it uses as much as digits as its factorization.

46011350160000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3129 (or 3090 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

Adding to 46011350160000 its reverse (6105311064), we get a palindrome (46017455471064).

The spelling of 46011350160000 in words is "forty-six trillion, eleven billion, three hundred fifty million, one hundred sixty thousand".