348514484250800 has 120 divisors (see below), whose sum is σ = 957113892147456. Its totient is φ = 119466618635520.

The previous prime is 348514484250797. The next prime is 348514484250811. The reversal of 348514484250800 is 8052484415843.

It is a happy number.

It is a super-2 number, since 2×348514484250800² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (56).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1377959 + ... + 26437241.

Almost surely, 2^{348514484250800} 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 348514484250800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (478556946073728).

348514484250800 is an abundant number, since it is smaller than the sum of its proper divisors (608599407896656).

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

348514484250800 is a wasteful number, since it uses less digits than its factorization.

348514484250800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25064275 (or 25064264 counting only the distinct ones).

The product of its (nonzero) digits is 19660800, while the sum is 56.

The spelling of 348514484250800 in words is "three hundred forty-eight trillion, five hundred fourteen billion, four hundred eighty-four million, two hundred fifty thousand, eight hundred".