811661007465 has 448 divisors, whose sum is σ = 1957301729280. Its totient is φ = 312610129920.

The previous prime is 811661007419. The next prime is 811661007473. The reversal of 811661007465 is 564700166118.

811661007465 is a `hidden beast` number, since 81 + 1 + 6 + 6 + 100 + 7 + 465 = 666.

It is not a de Polignac number, because 811661007465 - 2¹³ = 811660999273 is a prime.

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

It is a self number, because there is not a number n which added to its sum of digits gives 811661007465.

It is an unprimeable number.

It is a polite number, since it can be written in 447 ways as a sum of consecutive naturals, for example, 319676166 + ... + 319678704.

Almost surely, 2^811661007465 is an apocalyptic number.

811661007465 is a gapful number since it is divisible by the number (85) formed by its first and last digit.

It is an amenable number.

811661007465 is an abundant number, since it is smaller than the sum of its proper divisors (1145640721815).

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

811661007465 is a wasteful number, since it uses less digits than its factorization.

811661007465 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2664 (or 2649 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

The spelling of 811661007465 in words is "eight hundred eleven billion, six hundred sixty-one million, seven thousand, four hundred sixty-five".