354752136648 has 768 divisors, whose sum is σ = 1307674368000. Its totient is φ = 87432597504.

The previous prime is 354752136611. The next prime is 354752136649. The reversal of 354752136648 is 846631257453.

354752136648 is a `hidden beast` number, since 3 + 5 + 47 + 521 + 36 + 6 + 48 = 666.

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

Its product of digits (14515200) is a multiple of the sum of its prime factors (896).

It is a junction number, because it is equal to n+sod(n) for n = 354752136594 and 354752136603.

It is not an unprimeable number, because it can be changed into a prime (354752136649) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 538318543 + ... + 538319201.

It is an arithmetic number, because the mean of its divisors is an integer number (1702701000).

Almost surely, 2^354752136648 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 354752136648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (653837184000).

354752136648 is an abundant number, since it is smaller than the sum of its proper divisors (952922231352).

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

354752136648 is a wasteful number, since it uses less digits than its factorization.

354752136648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 896 (or 880 counting only the distinct ones).

The product of its digits is 14515200, while the sum is 54.

The spelling of 354752136648 in words is "three hundred fifty-four billion, seven hundred fifty-two million, one hundred thirty-six thousand, six hundred forty-eight".