1164901906350 has 1536 divisors, whose sum is σ = 4550108774400. Its totient is φ = 211855564800.

The previous prime is 1164901906349. The next prime is 1164901906373. The reversal of 1164901906350 is 536091094611.

1164901906350 is a `hidden beast` number, since 1 + 1 + 6 + 4 + 9 + 0 + 1 + 9 + 0 + 635 + 0 = 666.

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

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 1164901906296 and 1164901906305.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 767 ways as a sum of consecutive naturals, for example, 1230096577 + ... + 1230097523.

It is an arithmetic number, because the mean of its divisors is an integer number (2962310400).

Almost surely, 2^{1164901906350} is an apocalyptic number.

1164901906350 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1164901906350, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2275054387200).

1164901906350 is an abundant number, since it is smaller than the sum of its proper divisors (3385206868050).

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

1164901906350 is a wasteful number, since it uses less digits than its factorization.

1164901906350 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1055 (or 1044 counting only the distinct ones).

The product of its (nonzero) digits is 174960, while the sum is 45.

The spelling of 1164901906350 in words is "one trillion, one hundred sixty-four billion, nine hundred one million, nine hundred six thousand, three hundred fifty".