355619540864 has 128 divisors (see below), whose sum is σ = 851046220800. Its totient is φ = 144716673024.

The previous prime is 355619540863. The next prime is 355619540873. The reversal of 355619540864 is 468045916553.

It is a tau number, because it is divible by the number of its divisors (128).

It is a hoax number, since the sum of its digits (56) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (56).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (355619540863) 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 15 ways as a sum of consecutive naturals, for example, 2760317 + ... + 2886275.

It is an arithmetic number, because the mean of its divisors is an integer number (6648798600).

Almost surely, 2^355619540864 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 355619540864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (425523110400).

355619540864 is an abundant number, since it is smaller than the sum of its proper divisors (495426679936).

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

355619540864 is a wasteful number, since it uses less digits than its factorization.

355619540864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126140 (or 126128 counting only the distinct ones).

The product of its (nonzero) digits is 15552000, while the sum is 56.

The spelling of 355619540864 in words is "three hundred fifty-five billion, six hundred nineteen million, five hundred forty thousand, eight hundred sixty-four".