348511941801 has 27 divisors (see below), whose sum is σ = 531346978071. Its totient is φ = 220091552784.

The previous prime is 348511941787. The next prime is 348511941821. The reversal of 348511941801 is 108149115843.

The square root of 348511941801 is 590349.

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

348511941801 is a `hidden beast` number, since 3 + 48 + 511 + 94 + 1 + 8 + 0 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 173851472025 + 174660469776 = 416955^2 + 417924^2 .

It is a de Polignac number, because none of the positive numbers 2^k-348511941801 is a prime.

It is a super-2 number, since 2×348511941801² (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (348511941821) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 33644715 + ... + 33655071.

Almost surely, 2^348511941801 is an apocalyptic number.

348511941801 is the 590349-th square number.

348511941801 is the 295175-th centered octagonal number.

It is an amenable number.

348511941801 is a deficient number, since it is larger than the sum of its proper divisors (182835036270).

348511941801 is an frugal number, since it uses more digits than its factorization.

348511941801 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20758 (or 10379 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 45.

The spelling of 348511941801 in words is "three hundred forty-eight billion, five hundred eleven million, nine hundred forty-one thousand, eight hundred one".