348640978248000 has 784 divisors, whose sum is σ = 1299449739684096. Its totient is φ = 92617018444800.

The previous prime is 348640978247981. The next prime is 348640978248029. The reversal of 348640978248000 is 842879046843.

348640978248000 is a `hidden beast` number, since 3 + 4 + 8 + 64 + 0 + 97 + 8 + 2 + 480 + 0 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 1533702349 + ... + 1533929651.

Almost surely, 2^{348640978248000} is an apocalyptic number.

348640978248000 is a gapful number since it is divisible by the number (30) 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 348640978248000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (649724869842048).

348640978248000 is an abundant number, since it is smaller than the sum of its proper divisors (950808761436096).

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

348640978248000 is an equidigital number, since it uses as much as digits as its factorization.

348640978248000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 227611 (or 227576 counting only the distinct ones).

The product of its (nonzero) digits is 74317824, while the sum is 63.

The spelling of 348640978248000 in words is "three hundred forty-eight trillion, six hundred forty billion, nine hundred seventy-eight million, two hundred forty-eight thousand".