348377226264072 has 48 divisors (see below), whose sum is σ = 943867393969500. Its totient is φ = 116083189533696.

The previous prime is 348377226263987. The next prime is 348377226264091. The reversal of 348377226264072 is 270462622773843.

348377226264072 is a `hidden beast` number, since 3 + 4 + 83 + 7 + 7 + 226 + 264 + 0 + 72 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 344559946530276 + 3817279733796 = 18562326^2 + 1953786^2 .

It is a hoax number, since the sum of its digits (63) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 886313697 + ... + 886706672.

Almost surely, 2^{348377226264072} is an apocalyptic number.

It is an amenable number.

348377226264072 is an abundant number, since it is smaller than the sum of its proper divisors (595490167705428).

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

348377226264072 is a wasteful number, since it uses less digits than its factorization.

348377226264072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1773023110 (or 1773023103 counting only the distinct ones).

The product of its (nonzero) digits is 227598336, while the sum is 63.

The spelling of 348377226264072 in words is "three hundred forty-eight trillion, three hundred seventy-seven billion, two hundred twenty-six million, two hundred sixty-four thousand, seventy-two".