374242827451584 has 448 divisors, whose sum is σ = 1224805537492992. Its totient is φ = 98206224076800.

The previous prime is 374242827451583. The next prime is 374242827451627. The reversal of 374242827451584 is 485154728242473.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (448).

It is not an unprimeable number, because it can be changed into a prime (374242827451583) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 15524226859 + ... + 15524250965.

It is an arithmetic number, because the mean of its divisors is an integer number (2733940931904).

Almost surely, 2^{374242827451584} 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 374242827451584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (612402768746496).

374242827451584 is an abundant number, since it is smaller than the sum of its proper divisors (850562710041408).

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

374242827451584 is a wasteful number, since it uses less digits than its factorization.

374242827451584 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28564 (or 28554 counting only the distinct ones).

The product of its digits is 481689600, while the sum is 66.

The spelling of 374242827451584 in words is "three hundred seventy-four trillion, two hundred forty-two billion, eight hundred twenty-seven million, four hundred fifty-one thousand, five hundred eighty-four".