3645481950000 has 1800 divisors, whose sum is σ = 14918764856688. Its totient is φ = 858211200000.

The previous prime is 3645481949959. The next prime is 3645481950017. The reversal of 3645481950000 is 591845463.

3645481950000 is a `hidden beast` number, since 3 + 6 + 454 + 8 + 195 + 0 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1800).

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 359 ways as a sum of consecutive naturals, for example, 21072149914 + ... + 21072150086.

Almost surely, 2^{3645481950000} is an apocalyptic number.

3645481950000 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 3645481950000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7459382428344).

3645481950000 is an abundant number, since it is smaller than the sum of its proper divisors (11273282906688).

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

3645481950000 is a wasteful number, since it uses less digits than its factorization.

3645481950000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 283 (or 237 counting only the distinct ones).

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

The spelling of 3645481950000 in words is "three trillion, six hundred forty-five billion, four hundred eighty-one million, nine hundred fifty thousand".