341010642564 has 144 divisors (see below), whose sum is σ = 913858545600. Its totient is φ = 106920062208.

The previous prime is 341010642563. The next prime is 341010642611. The reversal of 341010642564 is 465246010143.

341010642564 is a `hidden beast` number, since 3 + 4 + 1 + 0 + 1 + 0 + 642 + 5 + 6 + 4 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (341010642563) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 56483754 + ... + 56489790.

It is an arithmetic number, because the mean of its divisors is an integer number (6346239900).

Almost surely, 2^341010642564 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 341010642564, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (456929272800).

341010642564 is an abundant number, since it is smaller than the sum of its proper divisors (572847903036).

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

341010642564 is a wasteful number, since it uses less digits than its factorization.

341010642564 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6642 (or 6637 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The spelling of 341010642564 in words is "three hundred forty-one billion, ten million, six hundred forty-two thousand, five hundred sixty-four".