36456000000 has 840 divisors, whose sum is σ = 145775634048. Its totient is φ = 8064000000.

The previous prime is 36455999981. The next prime is 36456000011. The reversal of 36456000000 is 65463.

It is a tau number, because it is divible by the number of its divisors (840).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 1175999985 + ... + 1176000015.

Almost surely, 2^36456000000 is an apocalyptic number.

36456000000 is a gapful number since it is divisible by the number (30) 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 36456000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72887817024).

36456000000 is an abundant number, since it is smaller than the sum of its proper divisors (109319634048).

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

36456000000 is an frugal number, since it uses more digits than its factorization.

36456000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96 (or 48 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 24.

Adding to 36456000000 its reverse (65463), we get a palindrome (36456065463).

It can be divided in two parts, 3645 and 6000000, that multiplied together give a 7-th power (21870000000 = 30⁷).

The spelling of 36456000000 in words is "thirty-six billion, four hundred fifty-six million", and thus it is an aban number.