355116687744 has 768 divisors, whose sum is σ = 1220236738560. Its totient is φ = 89496576000.

The previous prime is 355116687643. The next prime is 355116687787. The reversal of 355116687744 is 447786611553.

It is a super-2 number, since 2×355116687744² (a number of 24 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (57) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2126447149 + ... + 2126447315.

It is an arithmetic number, because the mean of its divisors is an integer number (1588849920).

Almost surely, 2^355116687744 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 355116687744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (610118369280).

355116687744 is an abundant number, since it is smaller than the sum of its proper divisors (865120050816).

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

355116687744 is a wasteful number, since it uses less digits than its factorization.

355116687744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 399 (or 374 counting only the distinct ones).

The product of its digits is 16934400, while the sum is 57.

The spelling of 355116687744 in words is "three hundred fifty-five billion, one hundred sixteen million, six hundred eighty-seven thousand, seven hundred forty-four".