348317153856 has 315 divisors, whose sum is σ = 1202122622547. Its totient is φ = 99434200320.

The previous prime is 348317153843. The next prime is 348317153879. The reversal of 348317153856 is 658351713843.

The square root of 348317153856 is 590184.

It is a perfect power (a square), and thus also a powerful number.

348317153856 is a `hidden beast` number, since 3 + 4 + 8 + 31 + 71 + 538 + 5 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 297452151 + ... + 297453321.

Almost surely, 2^348317153856 is an apocalyptic number.

348317153856 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

348317153856 is the 590184-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 348317153856

348317153856 is an abundant number, since it is smaller than the sum of its proper divisors (853805468691).

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

348317153856 is an frugal number, since it uses more digits than its factorization.

348317153856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2380 (or 1183 counting only the distinct ones).

The product of its digits is 7257600, while the sum is 54.

The spelling of 348317153856 in words is "three hundred forty-eight billion, three hundred seventeen million, one hundred fifty-three thousand, eight hundred fifty-six".