348970228992 has 540 divisors, whose sum is σ = 1320538022496. Its totient is φ = 90638714880.

The previous prime is 348970228961. The next prime is 348970229011. The reversal of 348970228992 is 299822079843.

348970228992 is a `hidden beast` number, since 3 + 489 + 70 + 2 + 2 + 89 + 9 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 11161093 + ... + 11192315.

Almost surely, 2^348970228992 is an apocalyptic number.

348970228992 is a gapful number since it is divisible by the number (32) 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 348970228992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (660269011248).

348970228992 is an abundant number, since it is smaller than the sum of its proper divisors (971567793504).

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

348970228992 is a wasteful number, since it uses less digits than its factorization.

348970228992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31276 (or 31246 counting only the distinct ones).

The product of its (nonzero) digits is 31352832, while the sum is 63.

The spelling of 348970228992 in words is "three hundred forty-eight billion, nine hundred seventy million, two hundred twenty-eight thousand, nine hundred ninety-two".