4546418646000 has 1920 divisors, whose sum is σ = 19434127564800. Its totient is φ = 903168000000.

The previous prime is 4546418645941. The next prime is 4546418646037. The reversal of 4546418646000 is 6468146454.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 10125653776 + ... + 10125654224.

It is an arithmetic number, because the mean of its divisors is an integer number (10121941440).

Almost surely, 2^{4546418646000} is an apocalyptic number.

4546418646000 is a gapful number since it is divisible by the number (40) 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 4546418646000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9717063782400).

4546418646000 is an abundant number, since it is smaller than the sum of its proper divisors (14887708918800).

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

4546418646000 is a wasteful number, since it uses less digits than its factorization.

4546418646000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 632 (or 609 counting only the distinct ones).

The product of its (nonzero) digits is 2211840, while the sum is 48.

The spelling of 4546418646000 in words is "four trillion, five hundred forty-six billion, four hundred eighteen million, six hundred forty-six thousand".