1165626346500 has 576 divisors, whose sum is σ = 4589969739264. Its totient is φ = 241920000000.

The previous prime is 1165626346499. The next prime is 1165626346513. The reversal of 1165626346500 is 56436265611.

1165626346500 is a `hidden beast` number, since 1 + 1 + 6 + 5 + 6 + 2 + 634 + 6 + 5 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 416145100 + ... + 416147900.

It is an arithmetic number, because the mean of its divisors is an integer number (7968697464).

Almost surely, 2^{1165626346500} is an apocalyptic number.

1165626346500 is a gapful number since it is divisible by the number (10) 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 1165626346500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2294984869632).

1165626346500 is an abundant number, since it is smaller than the sum of its proper divisors (3424343392764).

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

1165626346500 is a wasteful number, since it uses less digits than its factorization.

1165626346500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4045 (or 4030 counting only the distinct ones).

The product of its (nonzero) digits is 777600, while the sum is 45.

The spelling of 1165626346500 in words is "one trillion, one hundred sixty-five billion, six hundred twenty-six million, three hundred forty-six thousand, five hundred".