357342389074944 has 2640 divisors, whose sum is σ = 1358083554405760. Its totient is φ = 93283453992960.

The previous prime is 357342389074943. The next prime is 357342389074949. The reversal of 357342389074944 is 449470983243753.

357342389074944 is a `hidden beast` number, since 3 + 5 + 7 + 3 + 42 + 3 + 8 + 90 + 7 + 494 + 4 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (357342389074943) by changing a digit.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 1079584256859 + ... + 1079584257189.

Almost surely, 2^{357342389074944} 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 357342389074944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (679041777202880).

357342389074944 is an abundant number, since it is smaller than the sum of its proper divisors (1000741165330816).

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

357342389074944 is an equidigital number, since it uses as much as digits as its factorization.

357342389074944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 546 (or 495 counting only the distinct ones).

The product of its (nonzero) digits is 2194698240, while the sum is 72.

The spelling of 357342389074944 in words is "three hundred fifty-seven trillion, three hundred forty-two billion, three hundred eighty-nine million, seventy-four thousand, nine hundred forty-four".