348775453488000 has 512 divisors, whose sum is σ = 1441484434990080. Its totient is φ = 72472820736000.

The previous prime is 348775453487999. The next prime is 348775453488043. The reversal of 348775453488000 is 884354577843.

It is a super-2 number, since 2×348775453488000² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (66).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 43486827 + ... + 50878826.

It is an arithmetic number, because the mean of its divisors is an integer number (2815399287090).

Almost surely, 2^{348775453488000} is an apocalyptic number.

348775453488000 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

348775453488000 is an abundant number, since it is smaller than the sum of its proper divisors (1092708981502080).

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

348775453488000 is a wasteful number, since it uses less digits than its factorization.

348775453488000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 94365703 (or 94365681 counting only the distinct ones).

The product of its (nonzero) digits is 361267200, while the sum is 66.

The spelling of 348775453488000 in words is "three hundred forty-eight trillion, seven hundred seventy-five billion, four hundred fifty-three million, four hundred eighty-eight thousand".