816148532736 has 120 divisors (see below), whose sum is σ = 2355942000984. Its totient is φ = 271993835520.

The previous prime is 816148532729. The next prime is 816148532743. The reversal of 816148532736 is 637235841618.

816148532736 is a `hidden beast` number, since 8 + 1 + 61 + 48 + 532 + 7 + 3 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (816148532729) and next prime (816148532743).

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 26807955 + ... + 26838381.

Almost surely, 2^816148532736 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 816148532736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1177971000492).

816148532736 is an abundant number, since it is smaller than the sum of its proper divisors (1539793468248).

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

816148532736 is a wasteful number, since it uses less digits than its factorization.

816148532736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36272 (or 36253 counting only the distinct ones).

The product of its digits is 5806080, while the sum is 54.

The spelling of 816148532736 in words is "eight hundred sixteen billion, one hundred forty-eight million, five hundred thirty-two thousand, seven hundred thirty-six".