342016555104 has 216 divisors, whose sum is σ = 1134329676480. Its totient is φ = 97466245632.

The previous prime is 342016555091. The next prime is 342016555117. The reversal of 342016555104 is 401555610243.

342016555104 is a `hidden beast` number, since 3 + 42 + 0 + 1 + 65 + 551 + 0 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (342016555091) and next prime (342016555117).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 5458417 + ... + 5520719.

It is an arithmetic number, because the mean of its divisors is an integer number (5251526280).

Almost surely, 2^342016555104 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 342016555104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (567164838240).

342016555104 is an abundant number, since it is smaller than the sum of its proper divisors (792313121376).

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

342016555104 is a wasteful number, since it uses less digits than its factorization.

342016555104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 62722 (or 62704 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 36.

The spelling of 342016555104 in words is "three hundred forty-two billion, sixteen million, five hundred fifty-five thousand, one hundred four".