346344114425551 has 64 divisors (see below), whose sum is σ = 413812547850240. Its totient is φ = 286186678272000.

The previous prime is 346344114425429. The next prime is 346344114425587. The reversal of 346344114425551 is 155524411443643.

It is not a de Polignac number, because 346344114425551 - 2¹³ = 346344114417359 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (346344114425851) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5602520320 + ... + 5602582138.

It is an arithmetic number, because the mean of its divisors is an integer number (6465821060160).

Almost surely, 2^{346344114425551} is an apocalyptic number.

346344114425551 is a gapful number since it is divisible by the number (31) formed by its first and last digit.

346344114425551 is a deficient number, since it is larger than the sum of its proper divisors (67468433424689).

346344114425551 is a wasteful number, since it uses less digits than its factorization.

346344114425551 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 63856.

The product of its digits is 13824000, while the sum is 52.

The spelling of 346344114425551 in words is "three hundred forty-six trillion, three hundred forty-four billion, one hundred fourteen million, four hundred twenty-five thousand, five hundred fifty-one".