46217701145000 has 320 divisors, whose sum is σ = 137023636400640. Its totient is φ = 14190501600000.

The previous prime is 46217701144987. The next prime is 46217701145047. The reversal of 46217701145000 is 54110771264.

It is a super-2 number, since 2×46217701145000² (a number of 28 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 24899135 + ... + 26690865.

It is an arithmetic number, because the mean of its divisors is an integer number (428198863752).

Almost surely, 2^{46217701145000} is an apocalyptic number.

46217701145000 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 46217701145000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68511818200320).

46217701145000 is an abundant number, since it is smaller than the sum of its proper divisors (90805935255640).

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

46217701145000 is a wasteful number, since it uses less digits than its factorization.

46217701145000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1791842 (or 1791823 counting only the distinct ones).

The product of its (nonzero) digits is 47040, while the sum is 38.

The spelling of 46217701145000 in words is "forty-six trillion, two hundred seventeen billion, seven hundred one million, one hundred forty-five thousand".