36454852224000 has 4928 divisors, whose sum is σ = 170885027289600. Its totient is φ = 7725337804800.

The previous prime is 36454852223957. The next prime is 36454852224079. The reversal of 36454852224000 is 42225845463.

It is a happy number.

36454852224000 is a `hidden beast` number, since 3 + 6 + 45 + 48 + 522 + 2 + 40 + 0 + 0 = 666.

36454852224000 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

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

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, 544102271967 + ... + 544102272033.

Almost surely, 2^{36454852224000} is an apocalyptic number.

36454852224000 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 36454852224000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85442513644800).

36454852224000 is an abundant number, since it is smaller than the sum of its proper divisors (134430175065600).

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

36454852224000 is an frugal number, since it uses more digits than its factorization.

36454852224000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 158 (or 101 counting only the distinct ones).

The product of its (nonzero) digits is 1843200, while the sum is 45.

The spelling of 36454852224000 in words is "thirty-six trillion, four hundred fifty-four billion, eight hundred fifty-two million, two hundred twenty-four thousand".