341461674537984 has 6336 divisors, whose sum is σ = 1474979077877760. Its totient is φ = 77474101985280.

The previous prime is 341461674537967. The next prime is 341461674538003. The reversal of 341461674537984 is 489735476164143.

341461674537984 is a `hidden beast` number, since 3 + 4 + 1 + 4 + 6 + 1 + 6 + 7 + 4 + 537 + 9 + 84 = 666.

It is a tau number, because it is divible by the number of its divisors (6336).

It is a super-2 number, since 2×341461674537984² (a number of 30 digits) contains 22 as substring.

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

Its product of digits (1463132160) is a multiple of the sum of its prime factors (256).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 4322299677657 + ... + 4322299677735.

Almost surely, 2^{341461674537984} 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 341461674537984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (737489538938880).

341461674537984 is an abundant number, since it is smaller than the sum of its proper divisors (1133517403339776).

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

341461674537984 is a wasteful number, since it uses less digits than its factorization.

341461674537984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 256 (or 219 counting only the distinct ones).

The product of its digits is 1463132160, while the sum is 72.

The spelling of 341461674537984 in words is "three hundred forty-one trillion, four hundred sixty-one billion, six hundred seventy-four million, five hundred thirty-seven thousand, nine hundred eighty-four".