36456481152 has 384 divisors, whose sum is σ = 131256390720. Its totient is φ = 9455616000.

The previous prime is 36456481141. The next prime is 36456481219. The reversal of 36456481152 is 25118465463.

36456481152 is a `hidden beast` number, since 3 + 6 + 4 + 564 + 81 + 1 + 5 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×36456481152² (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 36456481098 and 36456481107.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6391902 + ... + 6397602.

Almost surely, 2^36456481152 is an apocalyptic number.

36456481152 is a gapful number since it is divisible by the number (32) 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 36456481152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65628195360).

36456481152 is an abundant number, since it is smaller than the sum of its proper divisors (94799909568).

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

36456481152 is a wasteful number, since it uses less digits than its factorization.

36456481152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5802 (or 5787 counting only the distinct ones).

The product of its digits is 691200, while the sum is 45.

The spelling of 36456481152 in words is "thirty-six billion, four hundred fifty-six million, four hundred eighty-one thousand, one hundred fifty-two".