220457399729248 has 96 divisors (see below), whose sum is σ = 474585941386368. Its totient is φ = 99974562816000.

The previous prime is 220457399729243. The next prime is 220457399729279. The reversal of 220457399729248 is 842927993754022.

It is a happy number.

220457399729248 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×220457399729248² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (220457399729243) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 330471811 + ... + 331138237.

It is an arithmetic number, because the mean of its divisors is an integer number (4943603556108).

Almost surely, 2^{220457399729248} 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 220457399729248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (237292970693184).

220457399729248 is an abundant number, since it is smaller than the sum of its proper divisors (254128541657120).

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

220457399729248 is a wasteful number, since it uses less digits than its factorization.

220457399729248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 668636 (or 668628 counting only the distinct ones).

The product of its (nonzero) digits is 1097349120, while the sum is 73.

The spelling of 220457399729248 in words is "two hundred twenty trillion, four hundred fifty-seven billion, three hundred ninety-nine million, seven hundred twenty-nine thousand, two hundred forty-eight".