46221002352 has 320 divisors, whose sum is σ = 155471477760. Its totient is φ = 12874208256.

The previous prime is 46221002329. The next prime is 46221002357. The reversal of 46221002352 is 25320012264.

It is a happy number.

46221002352 is a `hidden beast` number, since 4 + 622 + 1 + 0 + 0 + 2 + 35 + 2 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (46221002357) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 27726223 + ... + 27727889.

It is an arithmetic number, because the mean of its divisors is an integer number (485848368).

Almost surely, 2^46221002352 is an apocalyptic number.

46221002352 is a gapful number since it is divisible by the number (42) 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 46221002352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77735738880).

46221002352 is an abundant number, since it is smaller than the sum of its proper divisors (109250475408).

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

46221002352 is a wasteful number, since it uses less digits than its factorization.

46221002352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1917 (or 1905 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The spelling of 46221002352 in words is "forty-six billion, two hundred twenty-one million, two thousand, three hundred fifty-two".