245221233001632 has 288 divisors, whose sum is σ = 718460064241920. Its totient is φ = 79280092293120.

The previous prime is 245221233001597. The next prime is 245221233001651. The reversal of 245221233001632 is 236100332122542.

245221233001632 is a `hidden beast` number, since 2 + 4 + 5 + 2 + 2 + 12 + 3 + 3 + 0 + 0 + 1 + 632 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×245221233001632² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4374782118 + ... + 4374838170.

It is an arithmetic number, because the mean of its divisors is an integer number (2494653000840).

Almost surely, 2^{245221233001632} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 245221233001632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (359230032120960).

245221233001632 is an abundant number, since it is smaller than the sum of its proper divisors (473238831240288).

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

245221233001632 is a wasteful number, since it uses less digits than its factorization.

245221233001632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57396 (or 57385 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 36.

The spelling of 245221233001632 in words is "two hundred forty-five trillion, two hundred twenty-one billion, two hundred thirty-three million, one thousand, six hundred thirty-two".