355601981952 has 640 divisors, whose sum is σ = 1259199406080. Its totient is φ = 96962641920.

The previous prime is 355601981947. The next prime is 355601982011. The reversal of 355601981952 is 259189106553.

355601981952 is a `hidden beast` number, since 3 + 5 + 560 + 19 + 8 + 19 + 52 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 186470983 + ... + 186472889.

It is an arithmetic number, because the mean of its divisors is an integer number (1967499072).

Almost surely, 2^355601981952 is an apocalyptic number.

355601981952 is a gapful number since it is divisible by the number (32) 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 355601981952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (629599703040).

355601981952 is an abundant number, since it is smaller than the sum of its proper divisors (903597424128).

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

355601981952 is a wasteful number, since it uses less digits than its factorization.

355601981952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2029 (or 2007 counting only the distinct ones).

The product of its (nonzero) digits is 2916000, while the sum is 54.

The spelling of 355601981952 in words is "three hundred fifty-five billion, six hundred one million, nine hundred eighty-one thousand, nine hundred fifty-two".