348468772930992 has 480 divisors, whose sum is σ = 1173079888081920. Its totient is φ = 98078634501120.

The previous prime is 348468772930991. The next prime is 348468772931113. The reversal of 348468772930992 is 299039277864843.

It is a happy number.

348468772930992 is a `hidden beast` number, since 3 + 4 + 84 + 6 + 87 + 72 + 9 + 309 + 92 = 666.

It is a Harshad number since it is a multiple of its sum of digits (81).

It is not an unprimeable number, because it can be changed into a prime (348468772930991) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2343849234 + ... + 2343997902.

It is an arithmetic number, because the mean of its divisors is an integer number (2443916433504).

Almost surely, 2^{348468772930992} 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 348468772930992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (586539944040960).

348468772930992 is an abundant number, since it is smaller than the sum of its proper divisors (824611115150928).

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

348468772930992 is a wasteful number, since it uses less digits than its factorization.

348468772930992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 149983 (or 149965 counting only the distinct ones).

The product of its (nonzero) digits is 7900913664, while the sum is 81.

The spelling of 348468772930992 in words is "three hundred forty-eight trillion, four hundred sixty-eight billion, seven hundred seventy-two million, nine hundred thirty thousand, nine hundred ninety-two".