46827222361920 has 1120 divisors, whose sum is σ = 223650139781376. Its totient is φ = 8981839872000.

The previous prime is 46827222361897. The next prime is 46827222361937. The reversal of 46827222361920 is 2916322272864.

46827222361920 is a `hidden beast` number, since 4 + 6 + 8 + 272 + 2 + 2 + 361 + 9 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1120).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 25043520 + ... + 26848320.

Almost surely, 2^{46827222361920} is an apocalyptic number.

46827222361920 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 46827222361920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111825069890688).

46827222361920 is an abundant number, since it is smaller than the sum of its proper divisors (176822917419456).

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

46827222361920 is a wasteful number, since it uses less digits than its factorization.

46827222361920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1804861 (or 1804842 counting only the distinct ones).

The product of its (nonzero) digits is 6967296, while the sum is 54.

The spelling of 46827222361920 in words is "forty-six trillion, eight hundred twenty-seven billion, two hundred twenty-two million, three hundred sixty-one thousand, nine hundred twenty".