208030412341248 has 2048 divisors, whose sum is σ = 730562789376000. Its totient is φ = 51285810216960.

The previous prime is 208030412341217. The next prime is 208030412341307. The reversal of 208030412341248 is 842143214030802.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (2048).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 579471900493 + ... + 579471900851.

It is an arithmetic number, because the mean of its divisors is an integer number (356720112000).

Almost surely, 2^{208030412341248} is an apocalyptic number.

208030412341248 is a gapful number since it is divisible by the number (28) 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 208030412341248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (365281394688000).

208030412341248 is an abundant number, since it is smaller than the sum of its proper divisors (522532377034752).

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

208030412341248 is a wasteful number, since it uses less digits than its factorization.

208030412341248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 529 (or 501 counting only the distinct ones).

The product of its (nonzero) digits is 294912, while the sum is 42.

The spelling of 208030412341248 in words is "two hundred eight trillion, thirty billion, four hundred twelve million, three hundred forty-one thousand, two hundred forty-eight".