46621305217000 has 128 divisors (see below), whose sum is σ = 109287035395200. Its totient is φ = 18615524928000.

The previous prime is 46621305216961. The next prime is 46621305217009. The reversal of 46621305217000 is 71250312664.

It is a super-2 number, since 2×46621305217000² (a number of 28 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (46621305217009) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1620412615 + ... + 1620441385.

It is an arithmetic number, because the mean of its divisors is an integer number (853804964025).

Almost surely, 2^{46621305217000} is an apocalyptic number.

46621305217000 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 46621305217000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54643517697600).

46621305217000 is an abundant number, since it is smaller than the sum of its proper divisors (62665730178200).

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

46621305217000 is a wasteful number, since it uses less digits than its factorization.

46621305217000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31604 (or 31590 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 37.

Adding to 46621305217000 its reverse (71250312664), we get a palindrome (46692555529664).

The spelling of 46621305217000 in words is "forty-six trillion, six hundred twenty-one billion, three hundred five million, two hundred seventeen thousand".