46212221264 has 60 divisors (see below), whose sum is σ = 99076926900. Its totient is φ = 20864448000.

The previous prime is 46212221257. The next prime is 46212221267.

46212221264 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 2 ways, for example, as 4925232400 + 41286988864 = 70180^2 + 203192^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 46212221264.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (46212221267) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 208364 + ... + 368564.

It is an arithmetic number, because the mean of its divisors is an integer number (1651282115).

Almost surely, 2^46212221264 is an apocalyptic number.

46212221264 is a gapful number since it is divisible by the number (44) 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 46212221264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49538463450).

46212221264 is an abundant number, since it is smaller than the sum of its proper divisors (52864705636).

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

46212221264 is a wasteful number, since it uses less digits than its factorization.

46212221264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 160380 (or 160363 counting only the distinct ones).

The product of its digits is 18432, while the sum is 32.

The spelling of 46212221264 in words is "forty-six billion, two hundred twelve million, two hundred twenty-one thousand, two hundred sixty-four".