36054914805 has 256 divisors, whose sum is σ = 84110745600. Its totient is φ = 14406066432.

The previous prime is 36054914803. The next prime is 36054914821. The reversal of 36054914805 is 50841945063.

36054914805 is a `hidden beast` number, since 3 + 60 + 549 + 1 + 48 + 0 + 5 = 666.

It is not a de Polignac number, because 36054914805 - 2¹ = 36054914803 is a prime.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36054914801) by changing a digit.

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 255 ways as a sum of consecutive naturals, for example, 18905662 + ... + 18907568.

It is an arithmetic number, because the mean of its divisors is an integer number (328557600).

Almost surely, 2^36054914805 is an apocalyptic number.

36054914805 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

It is an amenable number.

36054914805 is an abundant number, since it is smaller than the sum of its proper divisors (48055830795).

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

36054914805 is a wasteful number, since it uses less digits than its factorization.

36054914805 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1972 (or 1954 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 45.

The spelling of 36054914805 in words is "thirty-six billion, fifty-four million, nine hundred fourteen thousand, eight hundred five".