348416659906560 has 4480 divisors, whose sum is σ = 1570572868829184. Its totient is φ = 72145195499520.

The previous prime is 348416659906547. The next prime is 348416659906577. The reversal of 348416659906560 is 65609956614843.

348416659906560 is a `hidden beast` number, since 3 + 4 + 8 + 4 + 1 + 6 + 6 + 59 + 9 + 0 + 6 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (4480).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 877623828282 + ... + 877623828678.

Almost surely, 2^{348416659906560} is an apocalyptic number.

348416659906560 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 348416659906560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (785286434414592).

348416659906560 is an abundant number, since it is smaller than the sum of its proper divisors (1222156208922624).

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

348416659906560 is a wasteful number, since it uses less digits than its factorization.

348416659906560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 554 (or 521 counting only the distinct ones).

The product of its (nonzero) digits is 1007769600, while the sum is 72.

The spelling of 348416659906560 in words is "three hundred forty-eight trillion, four hundred sixteen billion, six hundred fifty-nine million, nine hundred six thousand, five hundred sixty".