353125246256640 has 1200 divisors, whose sum is σ = 1494064883946096. Its totient is φ = 79020947865600.

The previous prime is 353125246256609. The next prime is 353125246256641. The reversal of 353125246256640 is 46652642521353.

353125246256640 is a `hidden beast` number, since 3 + 5 + 3 + 1 + 2 + 5 + 2 + 4 + 625 + 6 + 6 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (353125246256641) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 385024210 + ... + 385940270.

Almost surely, 2^{353125246256640} is an apocalyptic number.

353125246256640 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 353125246256640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (747032441973048).

353125246256640 is an abundant number, since it is smaller than the sum of its proper divisors (1140939637689456).

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

353125246256640 is a wasteful number, since it uses less digits than its factorization.

353125246256640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 916133 (or 916095 counting only the distinct ones).

The product of its (nonzero) digits is 31104000, while the sum is 54.

Adding to 353125246256640 its reverse (46652642521353), we get a palindrome (399777888777993).

The spelling of 353125246256640 in words is "three hundred fifty-three trillion, one hundred twenty-five billion, two hundred forty-six million, two hundred fifty-six thousand, six hundred forty".